* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (277 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 2
* [misc]none:  All alts: 2
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))): 1
* [misc]none:  Best fresh alt per point
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* [misc]none:  (-6.809363502494652e-65 5.671499175405204e+199 1.0663318092770615e+179): 0
* [misc]none:  (1765.6866643983528 1.3494492441629376e-165 7.042541852533202e+182): 0
* [misc]none:  (9.024107812091202e-52 1.7057199119127006e-15 1.194686244039865e+183): 0
* [misc]none:  (3.996776221489111e+43 9.658515925278439e+280 8.076543552597907e+40): 0
* [misc]none:  (-4.454714498759767e-277 1.0159731345923751e+130 2.4728297816312715e+153): 0
* [misc]none:  (8.259278441216712e+33 1.7471268968117213e-83 1.9278693234284615e+176): 0
* [misc]none:  (-8.21024395333123e-69 1.6450717007212436e+112 4.098953990911491e+297): 0
* [misc]none:  (1.2444896651494804e+200 2.7127086163349596e-70 1.9019982806516902e+71): 0
* [misc]none:  (3.0108255598540554e+76 -1.55745588694803e-132 2.8064231899775334e+261): 0
* [misc]none:  (1.2045929885723188e+178 6.432182976626504e-10 4.278154960051001e+232): 0
* [misc]none:  (1.2180185001201646e-270 -3.012875370022519e-194 3.893071659444556e+16): 0
* [misc]none:  (4.059911323224399e+225 2.7985499818577145e+258 2.143487317848182e+225): 0
* [misc]none:  (3.8824121816790855e-63 1.0898843537542708e-85 4.7988849445190723e+145): 0
* [misc]none:  (8.021926865882946e-42 -1.8256222624375255e-246 4.337426308582695e+90): 0
* [misc]none:  (1.718036708340669e-275 -7.5788680879491e-25 653904204661.0265): 0
* [misc]none:  (-3.044352249740497e-199 -1.1631107528051094e-17 8.292536794732138e+63): 0
* [misc]none:  (-2.6154846313950322e-129 8.020473122199103e-167 2.4287020836844806e+179): 0
* [misc]none:  (-8.02505523653727e-39 -0.00019516617271093958 2.9871501129840687e+276): 0
* [misc]none:  (-9.7018336882587e-269 -1.1044793372389576e-22 9.006631788005207e+274): 0
* [misc]none:  (2.9863660961743964e+243 8.0660085380266e+179 4.286074981496449e+193): 0
* [misc]none:  (-2.727400752731622e-283 -1.4925128310792255e-104 1.8098572227161885e+114): 0
* [misc]none:  (1.9119202441171818e-224 1.2438967921582803e+63 1.4671881440527919e+110): 0
* [misc]none:  (2.0485165194483747e+168 -1.540225542218951e-112 673114908567.9249): 0
* [misc]none:  (1.7643236429283854e-230 4.3342648208290876e+113 4.946615499815182e+64): 0
* [misc]none:  (1.1428087056624415e+187 -2.5075622959852353e-308 3.0274143168934988e+29): 0
* [misc]none:  (2.8559424393588624e+163 9.20868362029965e-253 4.603487222683434e+97): 0
* [misc]none:  (3.924888803122473e-35 -4.6109145208861094e-132 3.8801889929746705e+31): 0
* [misc]none:  (3.176557787419598e-13 1.0054321145448833e+281 1.3580103740461713e+115): 0
* [misc]none:  (2.8675552390257454e+196 -3.5896598501404987e-155 3.7359060523908745e+24): 0
* [misc]none:  (9.057360862705882e+59 5.9169112239519925e-199 1.765486661381807e+177): 0
* [misc]none:  (5.127156624586943e-307 9.557327874959092e+245 2.311733421335347e+51): 0
* [misc]none:  (1.2128869900384991e-193 3.536099293070918e+147 9.34884698905444e+193): 0
* [misc]none:  (-1.2490880211031103e-195 -2.7159210455408482e-303 5.626718637823938e+182): 0
* [misc]none:  (2.608826148441705e-159 1.0679090184892389e+161 1.2192221662740518e+268): 0
* [misc]none:  (1.1269187071107412e-84 1.0690806726905466e+95 5.2775294135682325e+51): 0
* [misc]none:  (6199.381244908606 1.7281128431783482e+157 4.8845463597394235e+147): 0
* [misc]none:  (-2.3633944703404475e-231 4.5313944249444605e-153 4.498553475536348e+37): 0
* [misc]none:  (1.1928590972821558e-117 -3.7617223057080534e-120 1.851871016234524e+203): 0
* [misc]none:  (7.121593325689763e+165 2.0692000745034384e+257 1.8399358337867285e+236): 0
* [misc]none:  (-1.3184000220800764e-62 9.74311301029906e-85 6.940029952821491e+120): 0
* [misc]none:  (9.497331968426095e-108 -5.197482799116401e-241 1.294544660798259e+234): 0
* [misc]none:  (1.340127057706069e+252 1.3529947592131492e+110 7.711090927517874e+115): 0
* [misc]none:  (9.946493258234889e+156 -9.91146120751357e-60 5.205925158073816e+226): 0
* [misc]none:  (-2.860883508949343e-202 6.68483023034965e+112 1.3620846760431477e+138): 0
* [misc]none:  (9.87194947505541e-28 5.040218416798045e-225 2.150034153121283e+213): 0
* [misc]none:  (-1.3636791142875324e-291 -5.939092476866672e-275 5.083256211820847e+147): 0
* [misc]none:  (1.7501334670503387e-184 3.3584429702369534e+102 4.838649716290781e+172): 0
* [misc]none:  (4.6587077209109915e-86 2.920861916405843e-219 1.5463781181563689e+100): 0
* [misc]none:  (1.5013627453801125e-19 1.005820461272061e+164 4.546534183988381e+112): 0
* [misc]none:  (2.3263731812384457e+89 -4.031367716026771e-257 5.560308939645345e+249): 0
* [misc]none:  (-1.0765060682560458e-246 -4.6277869750510783e-144 3.795038096706946e+182): 0
* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 0
* [misc]none:  (6.116147427060389e-32 9.511600252423525e+170 2.2725679593631724e+298): 0
* [misc]none:  (3.1672292868847214e-144 653491334.4246826 1.432430706656674e+219): 0
* [misc]none:  (7.131291251326984e+48 1.2653668806469008e-92 3.266757899419237e+198): 0
* [misc]none:  (6.458691847508881e+69 829599168773.0343 18086589454752.758): 0
* [misc]none:  (-3.2351325618271345e-42 4.261425297233509e+153 1.5233351795557236e+24): 0
* [misc]none:  (1.0225698962758457e-94 1.784550664801416e-298 2.423998462399398e+206): 0
* [misc]none:  (1.1442850064000795e+99 -1.4800207552124702e-256 2.4296073503142346e+68): 0
* [misc]none:  (3.014484695409733e+57 3.3171609772172066e-289 1.3430004585363498e+134): 0
* [misc]none:  (1.501266220429651e-263 -1.2530485793211995e-269 7.407720043891076e+155): 0
* [misc]none:  (-2.2593763942192146e-129 4.0091412779934875e-238 6.607171502367103e+169): 0
* [misc]none:  (6.995720386300373e+104 3.8384340182153484e-49 9.620625619460696e+213): 0
* [misc]none:  (6.758168963092835e+164 -1.923286656584035e-47 7.53886550553743e+200): 0
* [misc]none:  (1.1425963691426196e-115 2.476068903381355e+223 2.2213322779046326e+36): 0
* [misc]none:  (1.06655378325662e+185 3.69177291953895e+84 2.3240626459217843e+149): 0
* [misc]none:  (-3.905589656930878e-252 1.2612168896987016e+303 1.0962460914940638e+42): 0
* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 0
* [misc]none:  (5.484661529229837e+28 -2.174324126133859e-155 1.9635796742820443e+297): 0
* [misc]none:  (2.2798597413137147e+148 5.187162090035784e-186 2.5872250313485287e+98): 0
* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
* [misc]none:  (-0.005306782953594571 1.0847318041964328e-07 1.2280579168928925e+65): 0
* [misc]none:  (1.412798342522468e+164 -0.16704113898223302 1.9405216656894077e+231): 0
* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
* [misc]none:  (5.703723021316481e-184 -3.080840759537892e-140 8.43842290851504e+114): 0
* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 0
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 0
* [misc]none:  (3.771679078669615e+248 3.477794628051976e+302 1.397330850998359e+148): 0
* [misc]none:  (-1.3659393694755206e-271 5.835710351121424e-18 1.2303409174360135e+260): 0
* [misc]none:  (-4.433528855674276e-143 -3.126782663481013e-63 1.5951432041053418e+27): 0
* [misc]none:  (-1.2274584135804626e-159 4.688132673155381e+234 1.1056347807542906e+178): 0
* [misc]none:  (-9.408270833530164e-153 9.343476744547095e+193 3.215066426288478e+182): 0
* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 0
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 0
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 0
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 0
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 0
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 0
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 0
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 0
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 0
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 0
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 0
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 0
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 0
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 0
* [misc]none:  All alt indexes
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))): 1
* [misc]none:  Best alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 0
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 0
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 0
* [misc]none:  (5.61934277918027e+174 2.7945548512777507e-93 8.596129346916678e+204): 0
* [misc]none:  (-4.080831534294507e-88 1.402410735611396e-279 3.476204105958582e+266): 0
* [misc]none:  (4.255354559505271e-229 555031477569.7085 3.299744586399722e+213): 0
* [misc]none:  (3.7973607488961015e+232 1.6373878856164477e-262 6.879985829801786e+55): 0
* [misc]none:  (6.766050376169892e+154 4.2022977025573256e+223 2.182590077894994e+226): 0
* [misc]none:  (6.735844817040533e-195 3.4865714643101984e+34 1.7357028950249683e+168): 0
* [misc]none:  (-1.1961798405282767e-173 1.2796527454892258e+245 3.4022559315451535e+93): 0
* [misc]none:  (4.4470255968472246e-241 -1.71025345910351e-270 7.068559296425852e+56): 0
* [misc]none:  (7.190485440730506e-86 8.537836348446779e-200 1.6607770721893586e+152): 0
* [misc]none:  (1.9072763343588818e+257 8.042811165456128e-282 2.8647980908948046e+186): 0
* [misc]none:  (-4.439394655811471e-264 7.319785109107187e-305 4.385881120320383e+222): 0
* [misc]none:  (-6.158408114466146e-48 3.564974554152259e-26 3.3111576747354065e+177): 0
* [misc]none:  (9.710705703567448e-84 -5.970171916063175e-49 4.445007074989548e+137): 0
* [misc]none:  (-2.83249595786485e-50 5.163288024601075e+70 6.892681868285218e+108): 0
* [misc]none:  (3.097079364057181e-284 -1.3822334033532158e-301 2.502192339955283e+150): 0
* [misc]none:  (4.9216163308759326e+39 -1.720661369578677e-48 1.1471432158008706e+123): 0
* [misc]none:  (3.0141907850007194e-198 -1.1297823189716283e-207 5.182568802050799e+101): 0
* [misc]none:  (1.3358328721280612e-281 3.868486220615868e+260 5.604494982908127e+203): 0
* [misc]none:  (-1.083448091852679e-178 -7.03924037089523e-157 5.647439974261731e+167): 0
* [misc]none:  (4.4356684044462544e+271 1.0744031960883307e+47 2.519690540973018e+131): 0
* [misc]none:  (2.945387670994063e+21 -1.1090785722583569e-172 9.425834399197272e+24): 0
* [misc]none:  (-1.5956346162151835e-117 2.1651094566695785e-259 8.090384072211944e+222): 0
* [misc]none:  (7.993722147828383e-111 1.3572468481668781e+45 1.3529207365462511e+132): 0
* [misc]none:  (-2.142874593016839e-183 -1.4847788116065533e-88 5.752677339125854e+212): 0
* [misc]none:  (1.985812550466042e-201 4.1258809057875005e-127 2.7466215177320597e+250): 0
* [misc]none:  (-4.620512466049411e-201 -2.0060175050360887e-307 2.6144645569087944e+278): 0
* [misc]none:  (-1.1015952537498483e-79 -7.010321277061088e-67 2.086947421573907e+83): 0
* [misc]none:  (1.8696990318611146e+117 1.4671237477497495e-96 3.1151972975142725e+121): 0
* [misc]none:  (5.785254961192753e-60 2.32384995099013e+36 2.1598217809064176e+52): 1
* [misc]none:  (1.4428163470894284e+174 -1.2477683116919208e-262 1.590072085688416e+184): 0
* [misc]none:  (-7.503171363984619e-265 7.155555736010119e-55 1.6284673906115043e+240): 0
* [misc]none:  (-1.882691928566161e-235 2.6751238219744926e+23 6.250977213949913e+48): 0
* [misc]none:  (3.034361951330774e-64 -1.2027222718566995e-212 5.396205512421438e+212): 0
* [misc]none:  (2.966548220747157e+50 1.2896694314533046e-264 1.499448335849532e+181): 0
* [misc]none:  (6.688605127241465e-101 5.481648263509847e+270 3.4684867971028833e+80): 0
* [misc]none:  (2.575810898246411e-276 -4.146599016515306e-32 2.973934760980684e+113): 0
* [misc]none:  (1.6981670539636527e-79 -3.085525367781527e-221 6.405779977994198e+198): 0
* [misc]none:  (1.703142057165065e-179 -6.003832016662982e-117 1.0615495140680088e+205): 0
* [misc]none:  (-4.0157523967296e-295 6.090658404564618e+43 1.1386339373743357e+206): 0
* [misc]none:  (-7.556635495994182e-69 3.103848019193651e+243 8.453545965133498e+143): 0
* [misc]none:  (1.1730723403688846e+245 4.861101217107048e+55 5.8999836082374456e+268): 0
* [misc]none:  (2.9867240054370298e-251 -4.3008360185026807e-256 1.269399768057663e+43): 0
* [misc]none:  (9.119699701572206e-49 7.723937088011922e+108 3.9023903595142866e+139): 0
* [misc]none:  (16429.403121678595 1.2014673382948509e+38 1.0981950950221976e+219): 0
* [misc]none:  (1.3202614460517625e-240 7.314215359078128e+129 3.7428804421293206e+215): 0
* [misc]none:  (6.321301209078189e-220 6.928224803602588e+80 2.165855503187697e+89): 0
* [misc]none:  (10803225195616.197 2.159743713967773e-250 2.3543562591768827e+58): 0
* [misc]none:  (4.270779703545474e-63 -2.117874027734717e-163 5.953160686920047e+164): 0
* [misc]none:  (0.0005238454937889118 3.070493024699081 6.337522764052516e+126): 0
* [misc]none:  (8.528108993290675e-253 -4.1898464441488203e-137 9.46393443940892e+285): 0
* [misc]none:  (-4.975178067178524e-21 0.03732745766732279 8.251226474222128e+37): 0
* [misc]none:  (-5.439240507275032e-140 5.399166791278046e+231 4.3225691073250876e+32): 0
* [misc]none:  (1.3437221244491323e-292 -5.3095387033978475e-104 1.8236317557073592e+229): 0
* [misc]none:  (3.8045839576546524e+117 -3.366600938527443e-229 8.831949184271932e+49): 0
* [misc]none:  (-1.3200985233860335e-145 3.5203085076867497e-73 8.70539250471527e+42): 0
* [misc]none:  (-3.066537179692076e-36 2.0030385378791884e+102 8.533420652729534e+16): 0
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* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 0
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 0
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 0
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 0
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 0
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 0
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 0
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 0
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 0
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 0
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 0
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 0
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 0
* [misc]none:  Picked alt (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 20 in i
* [misc]backup-simplify:  Simplify 20 into 20
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 3)) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (/ 1 (- (pow beta 2) 1.0))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (* beta (* 1 alpha))) (+ (* (- 1.0) (pow (* 1 (* i 1)) 2)) (* (- 1.0) (* 1 (* i alpha))))) into (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ alpha (* 2 i))) into (/ i (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta alpha)) into (/ 1 (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) into (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))
* [misc]backup-simplify:  Simplify (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))) into (/ (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ beta i) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta beta) (* 1 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (pow beta 2)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (+ (* 1 beta) (* 0 0))) into (* 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 0 (* 2 beta)) (+ (* 1 (pow beta 2)) (* 0 0))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i))))) into (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)))) into (- (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) (+ (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) (+ (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (- (pow beta 2) 1.0))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (/ i (pow (+ beta (* 2 i)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ i (+ beta (* 2 i)))))) into (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))))) into (- (+ (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))))) (+ (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))))) (+ (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 52 in i
* [misc]backup-simplify:  Simplify 52 into 52
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 20 in i
* [misc]backup-simplify:  Simplify 20 into 20
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 11 in i
* [misc]backup-simplify:  Simplify 11 into 11
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) 0) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) 0) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (* 4 beta)) (* (* 4 beta) (- (pow beta 2) 1.0))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 8 (pow beta 3)) (* 4.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (/ 1 (* (- (pow beta 2) 1.0) beta))) into (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (- (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 10 in beta
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 2 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 2.0)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2.0) 1) 1)))) into (* -2.0 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 0) (+ (* 0 1) (* (* -2.0 (pow -1.0 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 1 1) (+ (* 0 beta) (* 0 0)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 (* 2 beta)) (+ (* 0 (pow beta 2)) (* 0 0)))) into (* 2 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (* 4 beta)) (* (* 4 beta) (- (pow beta 2) 1.0))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (- (/ (* 2 beta) (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 8 (pow beta 3)) (* 4.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 8 in beta
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 2 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 2.0)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2.0) 1) 1)))) into (* -2.0 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 0) (+ (* 0 1) (* (* -2.0 (pow -1.0 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 0 (+ beta (* 2 i)))) (* (/ i (pow (+ beta (* 2 i)) 3)) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 4)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 0 (+ beta (* 2 i)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ i (pow (+ beta (* 2 i)) 4)) (/ beta (pow (+ beta (* 2 i)) 4))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 4)))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ i (pow (+ beta (* 2 i)) 4)) (/ beta (pow (+ beta (* 2 i)) 4)))) (/ i (+ beta (* 2 i))))))) into (- (* 3 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 4 (/ (* beta i) (pow (+ beta (* 2 i)) 5))) (* 4 (/ (pow i 2) (pow (+ beta (* 2 i)) 5)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta (* 2 i)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (- (* 3 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 4 (/ (* beta i) (pow (+ beta (* 2 i)) 5))) (* 4 (/ (pow i 2) (pow (+ beta (* 2 i)) 5)))))) (+ (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)))))) into (- (+ (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))))) (+ (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))))) (+ (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 40 in i
* [misc]backup-simplify:  Simplify 40 into 40
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 100 in i
* [misc]backup-simplify:  Simplify 100 into 100
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))) in i
* [misc]taylor:  Taking taylor expansion of (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 88 in i
* [misc]backup-simplify:  Simplify 88 into 88
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 5)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 200 in i
* [misc]backup-simplify:  Simplify 200 into 200
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 304 in i
* [misc]backup-simplify:  Simplify 304 into 304
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 30 in i
* [misc]backup-simplify:  Simplify 30 into 30
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 64 in i
* [misc]backup-simplify:  Simplify 64 into 64
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 104 in i
* [misc]backup-simplify:  Simplify 104 into 104
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 96 in i
* [misc]backup-simplify:  Simplify 96 into 96
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 5)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 64 in i
* [misc]backup-simplify:  Simplify 64 into 64
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 224 in i
* [misc]backup-simplify:  Simplify 224 into 224
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 5)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 3 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 4 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ 4 (pow (- (pow beta 2) 1.0) 2)) 0) into (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))) into (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 3 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2))) 0) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow (- (pow beta 2) 1.0) 2)) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (/ 1 (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 1) into -1.0
* [misc]backup-simplify:  Simplify (/ 1 -1.0) into -1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (/ 1 (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 0) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 1 -1.0)) (* 0 (/ 0 -1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (- 1.0) (/ 1 (pow -1.0 2))) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 1 (pow -1.0 2)) 1.0) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (pow -1.0 2)) 1.0) (* 1 (* i (pow alpha 3)))) (+ (* -1.0 (pow (* 1 (* i 1)) 2)) (* -1.0 (* 1 (* i alpha))))) into (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i)) into (/ (+ (/ 1 i) (/ 1 beta)) i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 i) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) 1) (+ (* 1 (/ 0 1)))) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ 1 i))) into (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) (/ 1 i)))) into (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25 (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of 25 in i
* [misc]backup-simplify:  Simplify 25 into 25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 50 (/ 1 (* beta (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of 50 in i
* [misc]backup-simplify:  Simplify 50 into 50
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* (pow beta 3) i))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 3) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 31 in i
* [misc]backup-simplify:  Simplify 31 into 31
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 3)) (/ 0 (pow beta 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (pow beta 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 31 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i)) into (/ (+ (/ 1 i) (/ 1 beta)) i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 i) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) 1) (+ (* 1 (/ 0 1)))) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ 1 i))) into (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) (/ 1 i)))) into (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25 (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of 25 in i
* [misc]backup-simplify:  Simplify 25 into 25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 50 (/ 1 (* beta (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of 50 in i
* [misc]backup-simplify:  Simplify 50 into 50
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* (pow beta 3) i))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 3) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 31 in i
* [misc]backup-simplify:  Simplify 31 into 31
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 3)) (/ 0 (pow beta 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (pow beta 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 31 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ alpha (* 2 i))) into (/ i (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta alpha)) into (/ 1 (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) into (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (+ beta i) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 1 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i))))) into (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) (- (* 2 (/ 1 (pow beta 2))))) into (- (/ 1 (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (pow beta 2)) (+ (* (/ 1 beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 3 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (/ i (pow (+ beta (* 2 i)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ i (+ beta (* 2 i)))))) into (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ i (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 3))) into (/ 2 (pow beta 3))
* [misc]backup-simplify:  Simplify (- (/ 2 (pow beta 3))) into (- (* 2 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 (pow beta 3))) (- (* 2 (/ 1 (pow beta 3))))) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* (/ 1 (pow beta 2)) (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 3)) (+ (* (/ 1 (pow beta 2)) (/ (* 6 (pow beta 2)) (pow beta 3))))) into (- (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* 6 (/ 1 (pow beta 3))))) (* 0 (/ 1 (pow beta 2)))) into (- (* 12 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 3))) into (/ 2 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ (- (* 12 (/ 1 (pow beta 3)))) (/ 2 (pow beta 3))) into (- (* 10 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- (- (* 10 (/ 1 (pow beta 3))))) into (* 10 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (- (* 4 (/ 1 (pow beta 3)))) (* 10 (/ 1 (pow beta 3)))) into (* 6 (/ 1 (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (/ 1 beta))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ 1 beta) (+ (* 1 (/ 2 beta)))) into (- (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 1 (pow beta 2))) into (- (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) (- (/ 1 (pow beta 2)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 2 beta)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* (/ 1 beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) (- (* 4 (/ 1 (pow beta 2))))) into (- (* 3 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (- (- (* 3 (/ 1 (pow beta 2))))) into (* 3 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 (pow beta 2)))) (* 3 (/ 1 (pow beta 2)))) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* 1 (/ 0 beta)) (* (- (/ 1 beta)) (/ 2 beta)))) into (* 2 (/ 1 (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (log1p (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 2 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (expm1 (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 3 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (pow (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 1) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 4 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* * * * [misc]progress:  [ 5 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 6 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (log (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 7 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (479 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 8 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 9 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 10 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 11 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (- (fma (+ (+ alpha i) beta) i (* beta alpha))) (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (386 enodes)
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [enter]simplify:  Simplifying (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 12 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 13 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 14 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 15 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 16 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 17 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 18 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 19 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 20 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 1) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* * * * [misc]progress:  [ 21 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 22 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 23 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 24 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 25 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 26 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* * * * [misc]progress:  [ 27 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 28 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 29 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 30 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (expm1 (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 31 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log1p (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (log1p (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 32 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 1))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 33 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 1))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 34 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 1))>
* * * * [misc]progress:  [ 35 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* * [misc]simplify:  iters left: 3 (441 enodes)
* [exit]simplify:  Simplified to (+ (- (log (fma (+ i (+ alpha beta)) i (* beta alpha))) (log (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (+ (- (log i) (log (fma 2 i (+ alpha beta)))) (- (log (+ i (+ alpha beta))) (log (fma 2 i (+ alpha beta))))))
* [exit]simplify:  Simplified to (+ (- (log (fma (+ i (+ alpha beta)) i (* beta alpha))) (log (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (+ (- (log i) (log (fma 2 i (+ alpha beta)))) (- (log (+ i (+ alpha beta))) (log (fma 2 i (+ alpha beta))))))
* * * * [misc]progress:  [ 36 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (364 enodes)
* [exit]simplify:  Simplified to (+ (- (log (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (+ (log (/ i (+ (fma i 2 beta) alpha))) (log (fma (+ alpha (+ beta i)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (+ (- (log (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (+ (log (/ i (+ (fma i 2 beta) alpha))) (log (fma (+ alpha (+ beta i)) i (* beta alpha)))))
* * * * [misc]progress:  [ 37 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (325 enodes)
* [exit]simplify:  Simplified to (+ (- (log (fma (+ i (+ alpha beta)) i (* beta alpha))) (log (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (log (/ (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [exit]simplify:  Simplified to (+ (- (log (fma (+ i (+ alpha beta)) i (* beta alpha))) (log (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (log (/ (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* * * * [misc]progress:  [ 38 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (109 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (+ (+ (- (log i) (log (+ (fma i 2 beta) alpha))) (- (log (+ (+ alpha beta) i)) (log (+ (fma i 2 beta) alpha)))) (log (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (- (log i) (log (+ (fma i 2 beta) alpha))) (- (log (+ (+ alpha beta) i)) (log (+ (fma i 2 beta) alpha)))) (log (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 39 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ i (+ alpha (fma i 2 beta)))) (log (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))))) (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (log (/ i (+ alpha (fma i 2 beta)))) (log (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))))) (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 40 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (296 enodes)
* [exit]simplify:  Simplified to (+ (log (* (/ i (fma 2 i (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))))) (log (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (+ (log (* (/ i (fma 2 i (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))))) (log (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 41 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (120 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (log (/ (* (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ i (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (log (/ (* (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ i (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 42 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (exp (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (exp (/ (* (/ i (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (exp (/ (* (/ i (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 43 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (98 enodes)
* * [misc]simplify:  iters left: 4 (495 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (* (* i i) i) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (pow (/ (+ (+ alpha beta) i) (+ (fma i 2 alpha) beta)) 3)) (pow (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (* (/ (/ (* (* i i) i) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (pow (/ (+ (+ alpha beta) i) (+ (fma i 2 alpha) beta)) 3)) (pow (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 3))
* * * * [misc]progress:  [ 44 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (71 enodes)
* * [misc]simplify:  iters left: 4 (321 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) 3) (* (pow (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) 3) (/ (/ (* (* i i) i) (fma i 2 (+ alpha beta))) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta))))))
* [exit]simplify:  Simplified to (* (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) 3) (* (pow (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) 3) (/ (/ (* (* i i) i) (fma i 2 (+ alpha beta))) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta))))))
* * * * [misc]progress:  [ 45 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (256 enodes)
* [exit]simplify:  Simplified to (* (pow (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))) 3) (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (pow (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))) 3) (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* * * * [misc]progress:  [ 46 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (94 enodes)
* * [misc]simplify:  iters left: 4 (454 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) 3) (/ (/ (* (* i i) i) (+ (fma 2 i alpha) beta)) (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (* (pow (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) 3) (/ (/ (* (* i i) i) (+ (fma 2 i alpha) beta)) (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) 3))
* * * * [misc]progress:  [ 47 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (276 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (* (* i i) i) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (pow (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) 3)) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (* (/ (/ (* (* i i) i) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (pow (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) 3)) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* * * * [misc]progress:  [ 48 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (217 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) 3) (pow (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))) 3))
* [exit]simplify:  Simplified to (* (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) 3) (pow (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))) 3))
* * * * [misc]progress:  [ 49 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (357 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (fma (+ alpha (+ beta i)) i (* beta alpha))))) (cbrt (/ (/ (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (fma (+ alpha (+ beta i)) i (* beta alpha))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (fma (+ alpha (+ beta i)) i (* beta alpha))))) (cbrt (/ (/ (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (fma (+ alpha (+ beta i)) i (* beta alpha))))))
* [enter]simplify:  Simplifying (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (cbrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 50 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (173 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) 3)
* * * * [misc]progress:  [ 51 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [enter]simplify:  Simplifying (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 52 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (+ (+ alpha i) beta) i)) (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (+ (+ alpha i) beta) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ i alpha) (* beta i)) (fma (+ i alpha) i (* beta (+ i alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ i alpha) (* beta i)) (fma (+ i alpha) i (* beta (+ i alpha))))
* [enter]simplify:  Simplifying (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 53 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)) (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (205 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ i alpha) (* beta i)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ i alpha) (* beta i)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha)))
* [enter]simplify:  Simplifying (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 54 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))) (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (441 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ i alpha) i (* beta i)) (+ alpha (fma i 2 beta))) (fma (+ i (+ alpha beta)) i (* beta alpha)))
* [exit]simplify:  Simplified to (* (/ (fma (+ i alpha) i (* beta i)) (+ alpha (fma i 2 beta))) (fma (+ i (+ alpha beta)) i (* beta alpha)))
* [enter]simplify:  Simplifying (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 55 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 56 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 57 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (cbrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 58 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 59 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* * * * [misc]progress:  [ 60 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* * * * [misc]progress:  [ 61 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))) (/ i (+ (fma i 2 beta) alpha)))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))) (/ i (+ (fma i 2 beta) alpha)))
* * * * [misc]progress:  [ 62 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* * * * [misc]progress:  [ 63 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (349 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha))) (/ i (+ beta (fma 2 i alpha))))))
* * * * [misc]progress:  [ 64 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (* (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))) (/ i (+ (fma i 2 beta) alpha)))
* [exit]simplify:  Simplified to (* (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))) (/ i (+ (fma i 2 beta) alpha)))
* * * * [misc]progress:  [ 65 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ i (+ (fma i 2 beta) alpha)))
* [exit]simplify:  Simplified to (* (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ i (+ (fma i 2 beta) alpha)))
* * * * [misc]progress:  [ 66 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ i (+ (fma i 2 beta) alpha)))
* [exit]simplify:  Simplified to (* (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ i (+ (fma i 2 beta) alpha)))
* * * * [misc]progress:  [ 67 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 1) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 68 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (356 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 69 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ i (+ beta alpha)) (fma i 2 (+ beta alpha))) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (/ (fma i 2 (+ beta alpha)) i))
* [exit]simplify:  Simplified to (/ (/ (/ (+ i (+ beta alpha)) (fma i 2 (+ beta alpha))) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (/ (fma i 2 (+ beta alpha)) i))
* * * * [misc]progress:  [ 70 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (+ alpha i) beta) i)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (+ alpha i) beta) i))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (459 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ i alpha) i (* beta (+ i alpha))) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (fma i (+ i alpha) (* beta i)))
* [exit]simplify:  Simplified to (* (/ (fma (+ i alpha) i (* beta (+ i alpha))) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (fma i (+ i alpha) (* beta i)))
* * * * [misc]progress:  [ 71 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)) (+ (fma i 2 alpha) beta)))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)) (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) i))
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)) (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) i))
* * * * [misc]progress:  [ 72 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))) (+ (fma i 2 alpha) beta)))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* [exit]simplify:  Simplified to (* (* (/ i (fma 2 i (+ alpha beta))) (+ (+ beta i) alpha)) (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (* (* (/ i (fma 2 i (+ alpha beta))) (+ (+ beta i) alpha)) (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 73 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))>
* [enter]simplify:  Simplifying (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (283 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (/ (+ alpha (fma i 2 beta)) (+ beta (+ i alpha)))) (/ (+ alpha (fma i 2 beta)) i))
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (/ (+ alpha (fma i 2 beta)) (+ beta (+ i alpha)))) (/ (+ alpha (fma i 2 beta)) i))
* * * * [misc]progress:  [ 74 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))>
* * * * [misc]progress:  [ 75 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (log1p (expm1 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (expm1 (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 76 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (expm1 (log1p (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log1p (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (log1p (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 77 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (pow (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) 1)))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 78 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (pow (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) 1)))>
* * * * [misc]progress:  [ 79 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (exp (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (226 enodes)
* [exit]simplify:  Simplified to (- (- (log (+ i (+ alpha beta))) (log (+ beta (fma 2 i alpha)))) (- (log (+ beta (fma 2 i alpha))) (log i)))
* [exit]simplify:  Simplified to (- (- (log (+ i (+ alpha beta))) (log (+ beta (fma 2 i alpha)))) (- (log (+ beta (fma 2 i alpha))) (log i)))
* * * * [misc]progress:  [ 80 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (exp (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (+ (log (/ i (+ alpha (fma i 2 beta)))) (log (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (+ (log (/ i (+ alpha (fma i 2 beta)))) (log (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 81 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (exp (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (285 enodes)
* [exit]simplify:  Simplified to (log (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* [exit]simplify:  Simplified to (log (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* * * * [misc]progress:  [ 82 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (log (exp (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (exp (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (452 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (exp (* (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 83 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (69 enodes)
* * [misc]simplify:  iters left: 4 (337 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (* i i) i) (fma i 2 (+ alpha beta))) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)))) (pow (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) 3))
* [exit]simplify:  Simplified to (* (/ (/ (* (* i i) i) (fma i 2 (+ alpha beta))) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)))) (pow (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) 3))
* * * * [misc]progress:  [ 84 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (165 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (* i i) i) (fma i 2 (+ alpha beta))) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)))) (pow (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) 3))
* [exit]simplify:  Simplified to (* (/ (/ (* (* i i) i) (fma i 2 (+ alpha beta))) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)))) (pow (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) 3))
* * * * [misc]progress:  [ 85 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (cbrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (cbrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (cbrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) (cbrt (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) (cbrt (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))))
* [enter]simplify:  Simplifying (cbrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (cbrt (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 86 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (374 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta))) 3)
* * * * [misc]progress:  [ 87 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (sqrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [enter]simplify:  Simplifying (sqrt (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (sqrt (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 88 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (* (+ (+ alpha i) beta) i) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (+ (+ alpha i) beta) i)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (fma i (+ beta i) (* i alpha))
* [exit]simplify:  Simplified to (fma i (+ beta i) (* i alpha))
* [enter]simplify:  Simplifying (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* [exit]simplify:  Simplified to (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 89 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 90 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (166 enodes)
* * [misc]simplify:  iters left: 1 (257 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ i (fma i 2 (+ alpha beta)))) (+ beta (+ i alpha))) (/ (fma i 2 (+ alpha beta)) (cbrt (/ i (fma i 2 (+ alpha beta))))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ i (fma i 2 (+ alpha beta)))) (+ beta (+ i alpha))) (/ (fma i 2 (+ alpha beta)) (cbrt (/ i (fma i 2 (+ alpha beta))))))
* * * * [misc]progress:  [ 91 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ i (+ alpha (fma i 2 beta)))) (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (sqrt (/ i (+ alpha (fma i 2 beta)))) (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 92 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) 1) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (86 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 93 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i) (/ 1 (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 94 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (pow (fma i 2 alpha) 3) (pow beta 3)))) (+ (* (fma i 2 alpha) (fma i 2 alpha)) (- (* beta beta) (* (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (pow (fma i 2 alpha) 3) (pow beta 3))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (198 enodes)
* [exit]simplify:  Simplified to (* (/ i (fma beta (* beta beta) (pow (fma 2 i alpha) 3))) (/ (+ (+ beta i) alpha) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (* (/ i (fma beta (* beta beta) (pow (fma 2 i alpha) 3))) (/ (+ (+ beta i) alpha) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 95 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)))) (- (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (236 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (- (fma 2 i alpha) beta)) (+ beta (+ i alpha))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))
* [exit]simplify:  Simplified to (/ (* (/ i (- (fma 2 i alpha) beta)) (+ beta (+ i alpha))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))
* * * * [misc]progress:  [ 96 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (cbrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (cbrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 97 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (sqrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (sqrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 98 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (* (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (cbrt (+ (fma i 2 beta) alpha)) i))
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (cbrt (+ (fma i 2 beta) alpha)) i))
* * * * [misc]progress:  [ 99 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (sqrt (+ (fma i 2 alpha) beta))) (* (/ (cbrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (sqrt (+ (fma i 2 beta) alpha)) i))
* [exit]simplify:  Simplified to (/ (/ (cbrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (sqrt (+ (fma i 2 beta) alpha)) i))
* * * * [misc]progress:  [ 100 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (306 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (/ (cbrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (/ (cbrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 101 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (sqrt (+ (+ alpha i) beta)) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (* (/ (sqrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (cbrt (+ (fma i 2 beta) alpha)) i))
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (cbrt (+ (fma i 2 beta) alpha)) i))
* * * * [misc]progress:  [ 102 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))) (* (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (sqrt (+ (fma i 2 beta) alpha)) i))
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ beta (+ i alpha))) (+ (fma i 2 beta) alpha)) (/ (sqrt (+ (fma i 2 beta) alpha)) i))
* * * * [misc]progress:  [ 103 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (sqrt (+ (+ alpha i) beta)) 1) (* (/ (sqrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (120 enodes)
* * [misc]simplify:  iters left: 1 (306 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (/ (sqrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (/ i (+ alpha (fma i 2 beta))) (/ (sqrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 104 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ 1 (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (236 enodes)
* * [misc]simplify:  iters left: 1 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta i) i (* i alpha)) (+ alpha (fma i 2 beta))) (cbrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta i) i (* i alpha)) (+ alpha (fma i 2 beta))) (cbrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 105 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ 1 (sqrt (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (97 enodes)
* * [misc]simplify:  iters left: 2 (236 enodes)
* * [misc]simplify:  iters left: 1 (381 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta i) i (* i alpha)) (+ alpha (fma i 2 beta))) (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta i) i (* i alpha)) (+ alpha (fma i 2 beta))) (sqrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 106 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ 1 1) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 107 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta)) (/ i (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 108 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (+ alpha i) beta) (* (/ 1 (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ 1 (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (68 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (367 enodes)
* [exit]simplify:  Simplified to (/ (/ i (fma i 2 (+ beta alpha))) (fma i 2 (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (/ i (fma i 2 (+ beta alpha))) (fma i 2 (+ beta alpha)))
* * * * [misc]progress:  [ 109 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (pow (fma i 2 alpha) 3) (pow beta 3))) (* (+ (* (fma i 2 alpha) (fma i 2 alpha)) (- (* beta beta) (* (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (+ (* (fma i 2 alpha) (fma i 2 alpha)) (- (* beta beta) (* (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (281 enodes)
* [exit]simplify:  Simplified to (/ (fma (- beta (fma 2 i alpha)) beta (* (fma 2 i alpha) (fma 2 i alpha))) (/ (fma 2 i (+ alpha beta)) i))
* [exit]simplify:  Simplified to (/ (fma (- beta (fma 2 i alpha)) beta (* (fma 2 i alpha) (fma 2 i alpha))) (/ (fma 2 i (+ alpha beta)) i))
* * * * [misc]progress:  [ 110 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta))) (* (- (fma i 2 alpha) beta) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (- (fma i 2 alpha) beta) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (109 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (340 enodes)
* [exit]simplify:  Simplified to (* i (/ (fma 2 i (- alpha beta)) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (* i (/ (fma 2 i (- alpha beta)) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 111 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 112 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (202 enodes)
* * [misc]simplify:  iters left: 1 (229 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ i alpha) i (* beta i)) (fma 2 i (+ alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ i alpha) i (* beta i)) (fma 2 i (+ alpha beta)))
* * * * [misc]progress:  [ 113 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 114 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (expm1 (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 115 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (expm1 (log1p (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (log1p (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 116 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (pow (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) 1) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 117 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (exp (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (- (log (+ alpha (+ beta i))) (log (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (- (log (+ alpha (+ beta i))) (log (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 118 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (exp (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (log (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (log (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 119 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (exp (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 120 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (cbrt (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (249 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) 3)
* [exit]simplify:  Simplified to (pow (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) 3)
* * * * [misc]progress:  [ 121 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))) (cbrt (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))) (cbrt (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [enter]simplify:  Simplifying (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (cbrt (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 122 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (cbrt (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (330 enodes)
* [exit]simplify:  Simplified to (pow (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) 3)
* [exit]simplify:  Simplified to (pow (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) 3)
* * * * [misc]progress:  [ 123 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (sqrt (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (sqrt (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 124 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (- (+ (+ alpha i) beta)) (- (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (+ (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (- (- beta) (+ i alpha))
* [exit]simplify:  Simplified to (- (- beta) (+ i alpha))
* [enter]simplify:  Simplifying (- (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (- (- alpha) (fma i 2 beta))
* [exit]simplify:  Simplified to (- (- alpha) (fma i 2 beta))
* * * * [misc]progress:  [ 125 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha beta) i)) (cbrt (+ (fma i 2 beta) alpha))) (/ (cbrt (+ (+ alpha beta) i)) (cbrt (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (cbrt (+ (+ alpha beta) i)) (cbrt (+ (fma i 2 beta) alpha))) (/ (cbrt (+ (+ alpha beta) i)) (cbrt (+ (fma i 2 beta) alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 126 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (sqrt (+ (fma i 2 alpha) beta))) (/ (cbrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha beta) i)) (/ (cbrt (+ (+ alpha beta) i)) (sqrt (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (cbrt (+ (+ alpha beta) i)) (/ (cbrt (+ (+ alpha beta) i)) (sqrt (+ (fma i 2 beta) alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ beta i))) (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (cbrt (+ alpha (+ beta i))) (sqrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 127 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i))))
* [exit]simplify:  Simplified to (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (cbrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 128 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (sqrt (+ (+ alpha i) beta)) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ (sqrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) i)) (cbrt (+ beta (fma 2 i alpha)))) (cbrt (+ beta (fma 2 i alpha))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (+ (+ alpha beta) i)) (cbrt (+ beta (fma 2 i alpha)))) (cbrt (+ beta (fma 2 i alpha))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ beta i))) (cbrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ beta i))) (cbrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 129 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))) (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ beta i))) (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ beta i))) (sqrt (+ alpha (fma i 2 beta))))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ beta i))) (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (sqrt (+ alpha (+ beta i))) (sqrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 130 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (sqrt (+ (+ alpha i) beta)) 1) (/ (sqrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ beta i) alpha))
* [exit]simplify:  Simplified to (sqrt (+ (+ beta i) alpha))
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (sqrt (+ i (+ alpha beta))) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 131 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ 1 (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (cbrt (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ alpha (fma i 2 beta))) (cbrt (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (+ alpha (fma i 2 beta))) (cbrt (+ alpha (fma i 2 beta)))))
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (cbrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (+ i (+ alpha beta)) (cbrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (+ i (+ alpha beta)) (cbrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 132 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ 1 (sqrt (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (sqrt (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (+ alpha (fma i 2 beta))))
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (+ i (+ alpha beta)) (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (+ i (+ alpha beta)) (sqrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 133 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ 1 1) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 134 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* 1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 135 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (+ (+ alpha i) beta) (/ 1 (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* * [misc]simplify:  iters left: 1 (28 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ 1 (fma 2 i (+ beta alpha)))
* * * * [misc]progress:  [ 136 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ 1 (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (+ i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (+ i (+ beta alpha)))
* * * * [misc]progress:  [ 137 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (/ (+ (+ alpha i) beta) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (cbrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (* (cbrt (+ (fma i 2 alpha) beta)) (cbrt (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (* (cbrt (+ alpha (fma i 2 beta))) (cbrt (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (* (cbrt (+ alpha (fma i 2 beta))) (cbrt (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 138 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (/ (+ (+ alpha i) beta) (sqrt (+ (fma i 2 alpha) beta))) (sqrt (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (+ i (+ alpha beta)) (sqrt (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (/ (+ i (+ alpha beta)) (sqrt (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 139 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (/ (+ (+ alpha i) beta) 1) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (+ beta (+ i alpha))
* [exit]simplify:  Simplified to (+ beta (+ i alpha))
* * * * [misc]progress:  [ 140 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) (/ (+ (fma i 2 alpha) beta) (cbrt (+ (+ alpha i) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) (cbrt (+ (+ alpha i) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (cbrt (+ beta (+ i alpha))))
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (cbrt (+ beta (+ i alpha))))
* * * * [misc]progress:  [ 141 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (sqrt (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) (sqrt (+ (+ alpha i) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) (sqrt (+ (+ alpha i) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (sqrt (+ beta (+ i alpha))))
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (sqrt (+ beta (+ i alpha))))
* * * * [misc]progress:  [ 142 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ 1 (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (+ i (+ beta alpha)))
* [exit]simplify:  Simplified to (/ (+ (fma 2 i alpha) beta) (+ i (+ beta alpha)))
* * * * [misc]progress:  [ 143 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (+ (pow (fma i 2 alpha) 3) (pow beta 3))) (+ (* (fma i 2 alpha) (fma i 2 alpha)) (- (* beta beta) (* (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (+ (pow (fma i 2 alpha) 3) (pow beta 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (419 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (fma (* (fma 2 i alpha) (fma 2 i alpha)) (fma 2 i alpha) (pow beta 3)))
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (fma (* (fma 2 i alpha) (fma 2 i alpha)) (fma 2 i alpha) (pow beta 3)))
* * * * [misc]progress:  [ 144 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (/ (+ (+ alpha i) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta))) (- (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (132 enodes)
* * [misc]simplify:  iters left: 2 (463 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (- (* (fma 2 i alpha) (fma 2 i alpha)) (* beta beta)))
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (- (* (fma 2 i alpha) (fma 2 i alpha)) (* beta beta)))
* * * * [misc]progress:  [ 145 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (pow (+ alpha i) 3) (pow beta 3)) (* (+ (fma i 2 alpha) beta) (+ (* (+ alpha i) (+ alpha i)) (- (* beta beta) (* (+ alpha i) beta))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 alpha) beta) (+ (* (+ alpha i) (+ alpha i)) (- (* beta beta) (* (+ alpha i) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (157 enodes)
* [exit]simplify:  Simplified to (* (fma beta (- (- beta i) alpha) (* (+ i alpha) (+ i alpha))) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (fma beta (- (- beta i) alpha) (* (+ i alpha) (+ i alpha))) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 146 / 158 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (- (* (+ alpha i) (+ alpha i)) (* beta beta)) (* (+ (fma i 2 alpha) beta) (- (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 alpha) beta) (- (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (221 enodes)
* [exit]simplify:  Simplified to (* (+ (fma 2 i alpha) beta) (+ alpha (- i beta)))
* [exit]simplify:  Simplified to (* (+ (fma 2 i alpha) beta) (+ alpha (- i beta)))
* * * * [misc]progress:  [ 147 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (172 enodes)
* [exit]simplify:  Simplified to (* (* (/ i (fma i 2 (+ alpha beta))) (* (- 1.0) (fma alpha (+ i beta) (* i i)))) (/ (+ beta (+ alpha i)) (fma i 2 (+ alpha beta))))
* * * * [misc]progress:  [ 148 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 149 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 150 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i))))))>
* [enter]simplify:  Simplifying (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (442 enodes)
* [exit]simplify:  Simplified to (- (/ (* i alpha) (* (/ -1.0 alpha) (/ -1.0 alpha))) (* (* 1.0 i) (fma (fma alpha alpha 1) alpha i)))
* * * * [misc]progress:  [ 151 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 152 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 153 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 154 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 155 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 156 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))
* * * * [misc]progress:  [ 157 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))
* * * * [misc]progress:  [ 158 / 158 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 9
* [misc]none:  All alts: 9
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) 0)
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 1
* [misc]none:  (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 2
* [misc]none:  (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))): 3
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))): 4
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 5
* [misc]none:  (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 6
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))): 7
* [misc]none:  (λ (alpha beta i) 0): 8
* [misc]none:  Best fresh alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 8
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 8
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 8
* [misc]none:  (5.61934277918027e+174 2.7945548512777507e-93 8.596129346916678e+204): 8
* [misc]none:  (-4.080831534294507e-88 1.402410735611396e-279 3.476204105958582e+266): 8
* [misc]none:  (4.255354559505271e-229 555031477569.7085 3.299744586399722e+213): 8
* [misc]none:  (3.7973607488961015e+232 1.6373878856164477e-262 6.879985829801786e+55): 0
* [misc]none:  (6.766050376169892e+154 4.2022977025573256e+223 2.182590077894994e+226): 8
* [misc]none:  (6.735844817040533e-195 3.4865714643101984e+34 1.7357028950249683e+168): 8
* [misc]none:  (-1.1961798405282767e-173 1.2796527454892258e+245 3.4022559315451535e+93): 8
* [misc]none:  (4.4470255968472246e-241 -1.71025345910351e-270 7.068559296425852e+56): 0
* [misc]none:  (7.190485440730506e-86 8.537836348446779e-200 1.6607770721893586e+152): 1
* [misc]none:  (1.9072763343588818e+257 8.042811165456128e-282 2.8647980908948046e+186): 8
* [misc]none:  (-4.439394655811471e-264 7.319785109107187e-305 4.385881120320383e+222): 8
* [misc]none:  (-6.158408114466146e-48 3.564974554152259e-26 3.3111576747354065e+177): 8
* [misc]none:  (9.710705703567448e-84 -5.970171916063175e-49 4.445007074989548e+137): 2
* [misc]none:  (-2.83249595786485e-50 5.163288024601075e+70 6.892681868285218e+108): 0
* [misc]none:  (3.097079364057181e-284 -1.3822334033532158e-301 2.502192339955283e+150): 2
* [misc]none:  (4.9216163308759326e+39 -1.720661369578677e-48 1.1471432158008706e+123): 0
* [misc]none:  (3.0141907850007194e-198 -1.1297823189716283e-207 5.182568802050799e+101): 0
* [misc]none:  (1.3358328721280612e-281 3.868486220615868e+260 5.604494982908127e+203): 8
* [misc]none:  (-1.083448091852679e-178 -7.03924037089523e-157 5.647439974261731e+167): 8
* [misc]none:  (4.4356684044462544e+271 1.0744031960883307e+47 2.519690540973018e+131): 8
* [misc]none:  (2.945387670994063e+21 -1.1090785722583569e-172 9.425834399197272e+24): 1
* [misc]none:  (-1.5956346162151835e-117 2.1651094566695785e-259 8.090384072211944e+222): 8
* [misc]none:  (7.993722147828383e-111 1.3572468481668781e+45 1.3529207365462511e+132): 2
* [misc]none:  (-2.142874593016839e-183 -1.4847788116065533e-88 5.752677339125854e+212): 8
* [misc]none:  (1.985812550466042e-201 4.1258809057875005e-127 2.7466215177320597e+250): 8
* [misc]none:  (-4.620512466049411e-201 -2.0060175050360887e-307 2.6144645569087944e+278): 8
* [misc]none:  (-1.1015952537498483e-79 -7.010321277061088e-67 2.086947421573907e+83): 0
* [misc]none:  (1.8696990318611146e+117 1.4671237477497495e-96 3.1151972975142725e+121): 7
* [misc]none:  (5.785254961192753e-60 2.32384995099013e+36 2.1598217809064176e+52): 6
* [misc]none:  (1.4428163470894284e+174 -1.2477683116919208e-262 1.590072085688416e+184): 8
* [misc]none:  (-7.503171363984619e-265 7.155555736010119e-55 1.6284673906115043e+240): 8
* [misc]none:  (-1.882691928566161e-235 2.6751238219744926e+23 6.250977213949913e+48): 0
* [misc]none:  (3.034361951330774e-64 -1.2027222718566995e-212 5.396205512421438e+212): 8
* [misc]none:  (2.966548220747157e+50 1.2896694314533046e-264 1.499448335849532e+181): 8
* [misc]none:  (6.688605127241465e-101 5.481648263509847e+270 3.4684867971028833e+80): 8
* [misc]none:  (2.575810898246411e-276 -4.146599016515306e-32 2.973934760980684e+113): 0
* [misc]none:  (1.6981670539636527e-79 -3.085525367781527e-221 6.405779977994198e+198): 8
* [misc]none:  (1.703142057165065e-179 -6.003832016662982e-117 1.0615495140680088e+205): 8
* [misc]none:  (-4.0157523967296e-295 6.090658404564618e+43 1.1386339373743357e+206): 8
* [misc]none:  (-7.556635495994182e-69 3.103848019193651e+243 8.453545965133498e+143): 8
* [misc]none:  (1.1730723403688846e+245 4.861101217107048e+55 5.8999836082374456e+268): 8
* [misc]none:  (2.9867240054370298e-251 -4.3008360185026807e-256 1.269399768057663e+43): 0
* [misc]none:  (9.119699701572206e-49 7.723937088011922e+108 3.9023903595142866e+139): 0
* [misc]none:  (16429.403121678595 1.2014673382948509e+38 1.0981950950221976e+219): 8
* [misc]none:  (1.3202614460517625e-240 7.314215359078128e+129 3.7428804421293206e+215): 8
* [misc]none:  (6.321301209078189e-220 6.928224803602588e+80 2.165855503187697e+89): 2
* [misc]none:  (10803225195616.197 2.159743713967773e-250 2.3543562591768827e+58): 2
* [misc]none:  (4.270779703545474e-63 -2.117874027734717e-163 5.953160686920047e+164): 8
* [misc]none:  (0.0005238454937889118 3.070493024699081 6.337522764052516e+126): 0
* [misc]none:  (8.528108993290675e-253 -4.1898464441488203e-137 9.46393443940892e+285): 8
* [misc]none:  (-4.975178067178524e-21 0.03732745766732279 8.251226474222128e+37): 2
* [misc]none:  (-5.439240507275032e-140 5.399166791278046e+231 4.3225691073250876e+32): 0
* [misc]none:  (1.3437221244491323e-292 -5.3095387033978475e-104 1.8236317557073592e+229): 8
* [misc]none:  (3.8045839576546524e+117 -3.366600938527443e-229 8.831949184271932e+49): 2
* [misc]none:  (-1.3200985233860335e-145 3.5203085076867497e-73 8.70539250471527e+42): 0
* [misc]none:  (-3.066537179692076e-36 2.0030385378791884e+102 8.533420652729534e+16): 3
* [misc]none:  (5.034099319395416e+239 5.868371344683794e-64 4.493411481746003e+112): 8
* [misc]none:  (9.915189055688673e+31 4.6661758735122403e+89 1020430975837.7806): 2
* [misc]none:  (-9.015358049870172e-253 558765569177.7742 2.5692070607205773e+213): 8
* [misc]none:  (4.192946055583942e-172 -1.0961281871162937e-210 5.524671034450979e+282): 8
* [misc]none:  (-9.607501222403516e-36 4.220566541619549e+229 5.921294846763385e+194): 8
* [misc]none:  (8.273981036707964e-83 8.213740624558702e+241 2.6697511218695737e+44): 0
* [misc]none:  (1.9472971042210116e+55 2.410325679373688e-102 1.2460611268797603e+123): 0
* [misc]none:  (1.2113257201693619e-09 1.0645841166201473e+305 1.0149607196063749e+197): 8
* [misc]none:  (1.5085190131561967e-05 4.2246387051977007e-103 1939855977582.9888): 0
* [misc]none:  (-3.189485391989517e-100 1.1187409033955635e-281 5.133128649969222e+296): 8
* [misc]none:  (5.28422336248824e+51 5.881924477500074e+164 3.136906425775605e+223): 8
* [misc]none:  (5.5221836188934915e+228 -2.0387775949624775e-153 1.5538746110121737e+112): 8
* [misc]none:  (-6.409489369008477e-07 -6.541221037831606e-307 4.361739700462092e+218): 8
* [misc]none:  (1.1872595304409585e+18 6.941751691580495e+242 3.652622136346556e+302): 8
* [misc]none:  (1.4086398467772494e+94 1.4386272259034584e-276 1.3688677161205143e+73): 6
* [misc]none:  (-2.3002575529977387e-191 5.475366456312332e+86 9.707862134458523e+150): 0
* [misc]none:  (9.695508756689642e-283 -2.011199216274171e-120 7.746810690720674e+45): 0
* [misc]none:  (1.4606254654946099e+218 362286308265.24884 1.1752126413908857e+285): 8
* [misc]none:  (1.5468232939767947e+197 2.11291859010184e+211 7.576403020944845e+67): 8
* [misc]none:  (3.181764726750022e+16 1.754595798831653e-100 8.319479133217638e+72): 0
* [misc]none:  (3.399998773012643e-116 1.1579490907675504e-220 2.5567828938319964e+169): 8
* [misc]none:  (-8.68550733698779e-252 -1.5666808622500324e-22 5.2649767213558694e+275): 8
* [misc]none:  (9.71962479093554e-305 -1.1763255828040947e-101 2.769486795758668e+122): 0
* [misc]none:  (2.37813709873639e+225 1.786191635336755e-93 1.0570792569722166e+44): 0
* [misc]none:  (-4.656550699936543e-232 -2.8049448001062653e-226 2.9244248037553365e+147): 0
* [misc]none:  (-6.2317001653764e-98 3.616148906854995e+163 2.8852458673731734e+165): 8
* [misc]none:  (-1.4972815817152545e-295 9.038793786704759e-20 4.075042434420979e+193): 8
* [misc]none:  (-6.739035334059127e-121 -2.640224185918207e-222 6.988853694800881e+53): 0
* [misc]none:  (8.020946800258914e+259 5.4573047045195024e-18 1.5620131789322965e+234): 8
* [misc]none:  (-4.049074478946118e-77 1.2262625442234699e+279 5.262301821599218e+80): 8
* [misc]none:  (4.823365626683601e+117 -2.061389991312035e-12 2.912310429956012e+273): 8
* [misc]none:  (-1.7640250143578745e-208 1.1820786822761163e-255 7.775470292479081e+175): 8
* [misc]none:  (4.569607436817623e+258 4.410088402896566e-89 4.38785158525003e+126): 8
* [misc]none:  (-1.1326073199255272e-17 -2.0950399808911637e-234 2.6785433116002927e+296): 8
* [misc]none:  (203680633269.7002 1.1385538246164829e+106 952982389.222488): 2
* [misc]none:  (-6.6024532053605815e-155 1.174754729152001e+60 1.8079494856159447e+244): 8
* [misc]none:  (1.5535754229225927e-52 -7.774735580850432e-16 6.351628592293171e+295): 8
* [misc]none:  (2.609882903471907e+251 3.6080385265254976e-151 2.6772990165462416e+124): 8
* [misc]none:  (1.0746678176095088e-234 -4.557500074240233e-282 187074289496173.38): 0
* [misc]none:  (-3.1579132029659514e-210 1.6794702081432874e-14 1.4275894605763061e+44): 2
* [misc]none:  (6.9601698360961224e-09 2.6681428924090298e-138 2.1450958650060784e+285): 8
* [misc]none:  (1.3843502503391346e+27 5.372524020185496e-166 2.499775250521039e+247): 8
* [misc]none:  (4.449997800899398e-293 1.6938187756820604e+145 1.8842589777967632e+243): 8
* [misc]none:  (44038832.075552516 3.566000543698895e+52 7.171386182480909e+45): 1
* [misc]none:  (4.933162310607602e+199 -6.44613550013419e-276 6.654561584313526e+147): 8
* [misc]none:  (1.9807263142931955e-16 -2.8401652789735274e-278 9.117697461855357e+190): 8
* [misc]none:  (-3.145359477805762e-141 6.442309294430525e+173 3.911739378875668e+73): 0
* [misc]none:  (-2.1616637202156412e-61 -9.020403448851154e-153 2.1594672389327594e+214): 8
* [misc]none:  (24970.13544383595 -6.816341009002564e-179 14.21341521600583): 5
* [misc]none:  (27686123884477.016 -7.107382025749163e-63 3.531776440209935e+48): 0
* [misc]none:  (2.1488993586681348e-159 -3.368900319860853e-240 6.07652996877102e+261): 8
* [misc]none:  (-9.193149319353737e-284 -1.4329289420203548e-144 7.158688621227733e+293): 8
* [misc]none:  (1.9915318668999523e+135 5.116623338503019e-52 5.037973317371696e+235): 8
* [misc]none:  (1.4502247447560108e-284 1.045184913604601e-182 6.256213550843251e+245): 8
* [misc]none:  (1.6581501455993052e-249 1.0098343201807392e+58 3.974850836742492e+160): 8
* [misc]none:  (5.359522385225087e-17 9.631125531990442e+126 4.9963227045034064e+306): 8
* [misc]none:  (1.0470008468403685e-246 -7.321430720581151e-120 3.44616195897378): 3
* [misc]none:  (4.5494749547293894e+23 2.5934445825267073e+163 3.0692821076440968e+296): 8
* [misc]none:  (-3.3914348908460495e-109 -1.5509048253444886e-148 1.0385558163432079e+152): 0
* [misc]none:  (8.00165923401045e-66 1.7533824141038125e-178 2.7353222116576574e+177): 8
* [misc]none:  (3.805943330595135e-254 9.123011853910263e+44 4.210465722150913e+69): 0
* [misc]none:  (-1.3254771861260559e-104 -1.292900155919676e-236 1.0440118933152834e+123): 2
* [misc]none:  (3.12158804530071e+41 9.818770893805366e-294 8.510998693900968e+41): 4
* [misc]none:  (3.1836811406313805e+60 -0.10087727102964376 3.813958412290515e+79): 0
* [misc]none:  (9.889513937615731e-145 -5.590630690074936e-166 1.977490209549157e+301): 8
* [misc]none:  (-1.6533225636179903e-180 37337.320175469154 1.1193540138545345e+158): 8
* [misc]none:  (2.6055328539739914e-306 -2.9545645916499418e-170 1.4359855041683906e+202): 8
* [misc]none:  (9.539352894866598e+249 -8.04228175772837e-27 2.358936251112734e+140): 8
* [misc]none:  (4.8619525749556124e-05 8.520313347804456e+73 5.921209533784775e+36): 0
* [misc]none:  (5.82731247855455e+287 4.3289628743592093e-144 6248515339128.485): 0
* [misc]none:  (1.7668481773336874e-267 1.3736235425287786e+211 1.3286273141951025e+207): 8
* [misc]none:  (2.4643143096140816e-274 -9.739429854246803e-13 1.013950335812854e+41): 0
* [misc]none:  (1.8788228914052366e-292 -1.2629346812420038e-144 2.2979250887317962e+135): 0
* [misc]none:  (7.548224612594704e-124 6.958402621710808e+169 1.8949558472984458e+155): 8
* [misc]none:  (2.3156920603211967e-59 2.310114459376729e+220 27096833033.968227): 0
* [misc]none:  (9.584449127764077e-84 9.179007253451924e+217 3.115953922220241e+108): 8
* [misc]none:  (-1.554586385281288e-134 1.1235180457714086e-164 6.756613440973484e+183): 8
* [misc]none:  (1.252920585354742e-111 -1.612813391989522e-98 2.82458216192173e+180): 8
* [misc]none:  (2.587094630854195e-252 1.6478667753501928e+209 2.9294741564127164e+215): 8
* [misc]none:  (2.7197060997990604e-301 -7.512022874005759e-67 2.581539465742801e+146): 0
* [misc]none:  (6.1085755275542164e-133 -2.2453235940321017e-234 2.8911719724863878e+181): 8
* [misc]none:  (-7.841644174990607e-84 2.2416885151737616e+280 3.448896273593283e+293): 8
* [misc]none:  (6.294490530476209e-152 -7.96914683288008e-59 13.18177790759423): 2
* [misc]none:  (4490065180288.452 -2.691706877057518e-61 2.291402813334407e+291): 8
* [misc]none:  (1.8567767304857208e-249 -3.5001550134506567e-133 3.3755177759822725e+251): 8
* [misc]none:  (1.9596729859782887e+184 6.510946721168425e+307 1.7977782521934436e+190): 8
* [misc]none:  (49418303537.143555 1.5549059942929737e-262 5.983631573449565e+155): 8
* [misc]none:  (1.967365566190736e+25 4.5554322097135184e-36 3.5113653346731705e+243): 8
* [misc]none:  (1.2788133902227692e+25 1.3412667419122165e-32 3.719108543298996e+128): 0
* [misc]none:  (-6.809363502494652e-65 5.671499175405204e+199 1.0663318092770615e+179): 8
* [misc]none:  (1765.6866643983528 1.3494492441629376e-165 7.042541852533202e+182): 8
* [misc]none:  (9.024107812091202e-52 1.7057199119127006e-15 1.194686244039865e+183): 8
* [misc]none:  (3.996776221489111e+43 9.658515925278439e+280 8.076543552597907e+40): 8
* [misc]none:  (-4.454714498759767e-277 1.0159731345923751e+130 2.4728297816312715e+153): 0
* [misc]none:  (8.259278441216712e+33 1.7471268968117213e-83 1.9278693234284615e+176): 8
* [misc]none:  (-8.21024395333123e-69 1.6450717007212436e+112 4.098953990911491e+297): 8
* [misc]none:  (1.2444896651494804e+200 2.7127086163349596e-70 1.9019982806516902e+71): 0
* [misc]none:  (3.0108255598540554e+76 -1.55745588694803e-132 2.8064231899775334e+261): 8
* [misc]none:  (1.2045929885723188e+178 6.432182976626504e-10 4.278154960051001e+232): 8
* [misc]none:  (1.2180185001201646e-270 -3.012875370022519e-194 3.893071659444556e+16): 0
* [misc]none:  (4.059911323224399e+225 2.7985499818577145e+258 2.143487317848182e+225): 8
* [misc]none:  (3.8824121816790855e-63 1.0898843537542708e-85 4.7988849445190723e+145): 0
* [misc]none:  (8.021926865882946e-42 -1.8256222624375255e-246 4.337426308582695e+90): 0
* [misc]none:  (1.718036708340669e-275 -7.5788680879491e-25 653904204661.0265): 2
* [misc]none:  (-3.044352249740497e-199 -1.1631107528051094e-17 8.292536794732138e+63): 0
* [misc]none:  (-2.6154846313950322e-129 8.020473122199103e-167 2.4287020836844806e+179): 8
* [misc]none:  (-8.02505523653727e-39 -0.00019516617271093958 2.9871501129840687e+276): 8
* [misc]none:  (-9.7018336882587e-269 -1.1044793372389576e-22 9.006631788005207e+274): 8
* [misc]none:  (2.9863660961743964e+243 8.0660085380266e+179 4.286074981496449e+193): 8
* [misc]none:  (-2.727400752731622e-283 -1.4925128310792255e-104 1.8098572227161885e+114): 1
* [misc]none:  (1.9119202441171818e-224 1.2438967921582803e+63 1.4671881440527919e+110): 0
* [misc]none:  (2.0485165194483747e+168 -1.540225542218951e-112 673114908567.9249): 0
* [misc]none:  (1.7643236429283854e-230 4.3342648208290876e+113 4.946615499815182e+64): 0
* [misc]none:  (1.1428087056624415e+187 -2.5075622959852353e-308 3.0274143168934988e+29): 0
* [misc]none:  (2.8559424393588624e+163 9.20868362029965e-253 4.603487222683434e+97): 0
* [misc]none:  (3.924888803122473e-35 -4.6109145208861094e-132 3.8801889929746705e+31): 1
* [misc]none:  (3.176557787419598e-13 1.0054321145448833e+281 1.3580103740461713e+115): 8
* [misc]none:  (2.8675552390257454e+196 -3.5896598501404987e-155 3.7359060523908745e+24): 0
* [misc]none:  (9.057360862705882e+59 5.9169112239519925e-199 1.765486661381807e+177): 8
* [misc]none:  (5.127156624586943e-307 9.557327874959092e+245 2.311733421335347e+51): 0
* [misc]none:  (1.2128869900384991e-193 3.536099293070918e+147 9.34884698905444e+193): 8
* [misc]none:  (-1.2490880211031103e-195 -2.7159210455408482e-303 5.626718637823938e+182): 8
* [misc]none:  (2.608826148441705e-159 1.0679090184892389e+161 1.2192221662740518e+268): 8
* [misc]none:  (1.1269187071107412e-84 1.0690806726905466e+95 5.2775294135682325e+51): 0
* [misc]none:  (6199.381244908606 1.7281128431783482e+157 4.8845463597394235e+147): 0
* [misc]none:  (-2.3633944703404475e-231 4.5313944249444605e-153 4.498553475536348e+37): 0
* [misc]none:  (1.1928590972821558e-117 -3.7617223057080534e-120 1.851871016234524e+203): 8
* [misc]none:  (7.121593325689763e+165 2.0692000745034384e+257 1.8399358337867285e+236): 8
* [misc]none:  (-1.3184000220800764e-62 9.74311301029906e-85 6.940029952821491e+120): 0
* [misc]none:  (9.497331968426095e-108 -5.197482799116401e-241 1.294544660798259e+234): 8
* [misc]none:  (1.340127057706069e+252 1.3529947592131492e+110 7.711090927517874e+115): 8
* [misc]none:  (9.946493258234889e+156 -9.91146120751357e-60 5.205925158073816e+226): 8
* [misc]none:  (-2.860883508949343e-202 6.68483023034965e+112 1.3620846760431477e+138): 0
* [misc]none:  (9.87194947505541e-28 5.040218416798045e-225 2.150034153121283e+213): 8
* [misc]none:  (-1.3636791142875324e-291 -5.939092476866672e-275 5.083256211820847e+147): 0
* [misc]none:  (1.7501334670503387e-184 3.3584429702369534e+102 4.838649716290781e+172): 8
* [misc]none:  (4.6587077209109915e-86 2.920861916405843e-219 1.5463781181563689e+100): 0
* [misc]none:  (1.5013627453801125e-19 1.005820461272061e+164 4.546534183988381e+112): 0
* [misc]none:  (2.3263731812384457e+89 -4.031367716026771e-257 5.560308939645345e+249): 8
* [misc]none:  (-1.0765060682560458e-246 -4.6277869750510783e-144 3.795038096706946e+182): 8
* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 8
* [misc]none:  (6.116147427060389e-32 9.511600252423525e+170 2.2725679593631724e+298): 8
* [misc]none:  (3.1672292868847214e-144 653491334.4246826 1.432430706656674e+219): 8
* [misc]none:  (7.131291251326984e+48 1.2653668806469008e-92 3.266757899419237e+198): 8
* [misc]none:  (6.458691847508881e+69 829599168773.0343 18086589454752.758): 6
* [misc]none:  (-3.2351325618271345e-42 4.261425297233509e+153 1.5233351795557236e+24): 0
* [misc]none:  (1.0225698962758457e-94 1.784550664801416e-298 2.423998462399398e+206): 8
* [misc]none:  (1.1442850064000795e+99 -1.4800207552124702e-256 2.4296073503142346e+68): 2
* [misc]none:  (3.014484695409733e+57 3.3171609772172066e-289 1.3430004585363498e+134): 2
* [misc]none:  (1.501266220429651e-263 -1.2530485793211995e-269 7.407720043891076e+155): 8
* [misc]none:  (-2.2593763942192146e-129 4.0091412779934875e-238 6.607171502367103e+169): 8
* [misc]none:  (6.995720386300373e+104 3.8384340182153484e-49 9.620625619460696e+213): 8
* [misc]none:  (6.758168963092835e+164 -1.923286656584035e-47 7.53886550553743e+200): 8
* [misc]none:  (1.1425963691426196e-115 2.476068903381355e+223 2.2213322779046326e+36): 0
* [misc]none:  (1.06655378325662e+185 3.69177291953895e+84 2.3240626459217843e+149): 8
* [misc]none:  (-3.905589656930878e-252 1.2612168896987016e+303 1.0962460914940638e+42): 8
* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 6
* [misc]none:  (5.484661529229837e+28 -2.174324126133859e-155 1.9635796742820443e+297): 8
* [misc]none:  (2.2798597413137147e+148 5.187162090035784e-186 2.5872250313485287e+98): 0
* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
* [misc]none:  (-0.005306782953594571 1.0847318041964328e-07 1.2280579168928925e+65): 0
* [misc]none:  (1.412798342522468e+164 -0.16704113898223302 1.9405216656894077e+231): 8
* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
* [misc]none:  (5.703723021316481e-184 -3.080840759537892e-140 8.43842290851504e+114): 0
* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 8
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 2
* [misc]none:  (3.771679078669615e+248 3.477794628051976e+302 1.397330850998359e+148): 8
* [misc]none:  (-1.3659393694755206e-271 5.835710351121424e-18 1.2303409174360135e+260): 8
* [misc]none:  (-4.433528855674276e-143 -3.126782663481013e-63 1.5951432041053418e+27): 0
* [misc]none:  (-1.2274584135804626e-159 4.688132673155381e+234 1.1056347807542906e+178): 8
* [misc]none:  (-9.408270833530164e-153 9.343476744547095e+193 3.215066426288478e+182): 8
* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 2
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 8
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 8
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 8
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 2
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 8
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 8
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 8
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 8
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 8
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 8
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 8
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 8
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 8
* [misc]none:  All alt indexes
* [misc]none:  (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 1
* [misc]none:  (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 2
* [misc]none:  (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))): 3
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))): 4
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 5
* [misc]none:  (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 6
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))): 7
* [misc]none:  (λ (alpha beta i) 0): 8
* [misc]none:  Best alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 8
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 8
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 8
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* [misc]none:  (5.127156624586943e-307 9.557327874959092e+245 2.311733421335347e+51): 0
* [misc]none:  (1.2128869900384991e-193 3.536099293070918e+147 9.34884698905444e+193): 8
* [misc]none:  (-1.2490880211031103e-195 -2.7159210455408482e-303 5.626718637823938e+182): 8
* [misc]none:  (2.608826148441705e-159 1.0679090184892389e+161 1.2192221662740518e+268): 8
* [misc]none:  (1.1269187071107412e-84 1.0690806726905466e+95 5.2775294135682325e+51): 0
* [misc]none:  (6199.381244908606 1.7281128431783482e+157 4.8845463597394235e+147): 0
* [misc]none:  (-2.3633944703404475e-231 4.5313944249444605e-153 4.498553475536348e+37): 0
* [misc]none:  (1.1928590972821558e-117 -3.7617223057080534e-120 1.851871016234524e+203): 8
* [misc]none:  (7.121593325689763e+165 2.0692000745034384e+257 1.8399358337867285e+236): 8
* [misc]none:  (-1.3184000220800764e-62 9.74311301029906e-85 6.940029952821491e+120): 0
* [misc]none:  (9.497331968426095e-108 -5.197482799116401e-241 1.294544660798259e+234): 8
* [misc]none:  (1.340127057706069e+252 1.3529947592131492e+110 7.711090927517874e+115): 8
* [misc]none:  (9.946493258234889e+156 -9.91146120751357e-60 5.205925158073816e+226): 8
* [misc]none:  (-2.860883508949343e-202 6.68483023034965e+112 1.3620846760431477e+138): 0
* [misc]none:  (9.87194947505541e-28 5.040218416798045e-225 2.150034153121283e+213): 8
* [misc]none:  (-1.3636791142875324e-291 -5.939092476866672e-275 5.083256211820847e+147): 0
* [misc]none:  (1.7501334670503387e-184 3.3584429702369534e+102 4.838649716290781e+172): 8
* [misc]none:  (4.6587077209109915e-86 2.920861916405843e-219 1.5463781181563689e+100): 0
* [misc]none:  (1.5013627453801125e-19 1.005820461272061e+164 4.546534183988381e+112): 0
* [misc]none:  (2.3263731812384457e+89 -4.031367716026771e-257 5.560308939645345e+249): 8
* [misc]none:  (-1.0765060682560458e-246 -4.6277869750510783e-144 3.795038096706946e+182): 8
* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 8
* [misc]none:  (6.116147427060389e-32 9.511600252423525e+170 2.2725679593631724e+298): 8
* [misc]none:  (3.1672292868847214e-144 653491334.4246826 1.432430706656674e+219): 8
* [misc]none:  (7.131291251326984e+48 1.2653668806469008e-92 3.266757899419237e+198): 8
* [misc]none:  (6.458691847508881e+69 829599168773.0343 18086589454752.758): 6
* [misc]none:  (-3.2351325618271345e-42 4.261425297233509e+153 1.5233351795557236e+24): 0
* [misc]none:  (1.0225698962758457e-94 1.784550664801416e-298 2.423998462399398e+206): 8
* [misc]none:  (1.1442850064000795e+99 -1.4800207552124702e-256 2.4296073503142346e+68): 2
* [misc]none:  (3.014484695409733e+57 3.3171609772172066e-289 1.3430004585363498e+134): 2
* [misc]none:  (1.501266220429651e-263 -1.2530485793211995e-269 7.407720043891076e+155): 8
* [misc]none:  (-2.2593763942192146e-129 4.0091412779934875e-238 6.607171502367103e+169): 8
* [misc]none:  (6.995720386300373e+104 3.8384340182153484e-49 9.620625619460696e+213): 8
* [misc]none:  (6.758168963092835e+164 -1.923286656584035e-47 7.53886550553743e+200): 8
* [misc]none:  (1.1425963691426196e-115 2.476068903381355e+223 2.2213322779046326e+36): 0
* [misc]none:  (1.06655378325662e+185 3.69177291953895e+84 2.3240626459217843e+149): 8
* [misc]none:  (-3.905589656930878e-252 1.2612168896987016e+303 1.0962460914940638e+42): 8
* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 6
* [misc]none:  (5.484661529229837e+28 -2.174324126133859e-155 1.9635796742820443e+297): 8
* [misc]none:  (2.2798597413137147e+148 5.187162090035784e-186 2.5872250313485287e+98): 0
* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
* [misc]none:  (-0.005306782953594571 1.0847318041964328e-07 1.2280579168928925e+65): 0
* [misc]none:  (1.412798342522468e+164 -0.16704113898223302 1.9405216656894077e+231): 8
* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
* [misc]none:  (5.703723021316481e-184 -3.080840759537892e-140 8.43842290851504e+114): 0
* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 8
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 2
* [misc]none:  (3.771679078669615e+248 3.477794628051976e+302 1.397330850998359e+148): 8
* [misc]none:  (-1.3659393694755206e-271 5.835710351121424e-18 1.2303409174360135e+260): 8
* [misc]none:  (-4.433528855674276e-143 -3.126782663481013e-63 1.5951432041053418e+27): 0
* [misc]none:  (-1.2274584135804626e-159 4.688132673155381e+234 1.1056347807542906e+178): 8
* [misc]none:  (-9.408270833530164e-153 9.343476744547095e+193 3.215066426288478e+182): 8
* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 2
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 8
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 8
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 8
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 2
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 8
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 8
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 8
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 8
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 8
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 8
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 8
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 8
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 8
* [misc]none:  Picked alt (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 20 in i
* [misc]backup-simplify:  Simplify 20 into 20
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 3)) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (/ 1 (- (pow beta 2) 1.0))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (* beta (* 1 alpha))) (+ (* (- 1.0) (pow (* 1 (* i 1)) 2)) (* (- 1.0) (* 1 (* i alpha))))) into (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ alpha i) (+ alpha (* 2 i)))) into (exp (/ (+ alpha i) (+ alpha (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ beta i) (+ beta (* 2 i)))) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ beta i) (+ beta (* 2 i)))) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ beta i) (+ beta (* 2 i)))) -1) into (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)
* [misc]taylor:  Taking taylor expansion of (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]taylor:  Taking taylor expansion of (- E 1) in beta
* [misc]taylor:  Taking taylor expansion of E in beta
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (- E 1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))) 0) into (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ E beta) into (/ E beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* E 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ 1 beta) (+ (* 1 (/ 2 beta)))) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 beta)) 1) 1)))) into (* -1 (/ E beta))
* [misc]backup-simplify:  Simplify (+ (* E 1) (* (* -1 (/ E beta)) 0)) into E
* [misc]backup-simplify:  Simplify (/ E (pow beta 2)) into (/ E (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* E beta) into (* beta E)
* [misc]backup-simplify:  Simplify (/ (* beta E) (pow beta 2)) into (/ E beta)
* [misc]backup-simplify:  Simplify (+ 0 (/ E beta)) into (/ E beta)
* [misc]backup-simplify:  Simplify (- (/ E beta)) into (- (/ E beta))
* [misc]backup-simplify:  Simplify (+ (/ E beta) (- (/ E beta))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ 1 beta) (+ (* 1 (/ 2 beta)))) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 beta)) 1) 1)))) into (* -1 (/ E beta))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E beta)) 0) into (- (/ E beta))
* [misc]taylor:  Taking taylor expansion of (- (/ E beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ E beta) in beta
* [misc]taylor:  Taking taylor expansion of E in beta
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 2) 2)) (* (/ (pow (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 4))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 1/2 (/ 1 (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 4))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 1/2 (/ 1 (pow (+ beta (* 2 i)) 2))))) 0) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* E 1) into E
* [misc]backup-simplify:  Simplify (/ E (pow beta 4)) into (/ E (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* E 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ 1 beta) (+ (* 1 (/ 2 beta)))) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 beta)) 1) 1)))) into (* -1 (/ E beta))
* [misc]backup-simplify:  Simplify (+ (* E beta) (* (* -1 (/ E beta)) 0)) into (* beta E)
* [misc]backup-simplify:  Simplify (/ (* beta E) (pow beta 4)) into (/ E (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* E (pow beta 2)) into (* (pow beta 2) E)
* [misc]backup-simplify:  Simplify (/ (* (pow beta 2) E) (pow beta 4)) into (/ E (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ beta i) (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (/ beta beta) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ E (pow beta 2)) into (/ E (pow beta 2))
* [misc]backup-simplify:  Simplify (* 1/2 (/ E (pow beta 2))) into (* 1/2 (/ E (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (/ E (pow beta 2)))) into (* 1/2 (/ E (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (/ E (pow beta 2)))) into (* 1/2 (/ E (pow beta 2)))
* [misc]backup-simplify:  Simplify (* 1/2 (/ E (pow beta 2))) into (* 1/2 (/ E (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 1/2 (/ E (pow beta 2)))) into (- (* 1/2 (/ E (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ E (pow beta 2))) (- (* 1/2 (/ E (pow beta 2))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ 1 beta) (+ (* 1 (/ 2 beta)))) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 beta)) 1) 1)))) into (* -1 (/ E beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ (* -1 (/ E beta)) beta) (+ (* (/ E beta) (/ 2 beta)))) into (- (* 3 (/ E (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (- (/ 1 beta) (+ (* 1 (/ 2 beta)))) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 beta)) 1) 1)))) into (* -1 (/ E beta))
* [misc]backup-simplify:  Simplify (+ (* E 0) (* (* -1 (/ E beta)) beta)) into (- E)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ (- E) (pow beta 2)) (+ (* (/ E beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 5 (/ E (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (/ E (pow beta 2)) (- (* 5 (/ E (pow beta 2))))) into (- (* 4 (/ E (pow beta 2))))
* [misc]backup-simplify:  Simplify (- (- (* 4 (/ E (pow beta 2))))) into (* 4 (/ E (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (- (* 3 (/ E (pow beta 2)))) (* 4 (/ E (pow beta 2)))) into (/ E (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ E (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of E in beta
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* 1 (/ 0 beta)) (* (- (/ 1 beta)) (/ 2 beta)))) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 beta)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow beta 2))) 1) 1)))) into (* 5/2 (/ E (pow beta 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 5/2 (/ E (pow beta 2))) 0) into (* 5/2 (/ E (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 5/2 (/ E (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 5/2 in beta
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (/ E (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of E in beta
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5/2 0) (+ (* 0 0) (* 0 E))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- E 1) into (- E 1)
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (exp 1/2) into (exp 1/2)
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]taylor:  Taking taylor expansion of (- E 1) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]taylor:  Taking taylor expansion of (- E 1) in beta
* [misc]taylor:  Taking taylor expansion of E in beta
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (- E 1) into (- E 1)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 1) 1)))) into (* -1 (/ E i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E i)) 0) into (- (/ E i))
* [misc]taylor:  Taking taylor expansion of (- (/ E i)) in i
* [misc]taylor:  Taking taylor expansion of (/ E i) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 2) 2)) (* (/ (pow (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) 1) 1)))) into (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E) 0) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/2 (/ E (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 5/2 in i
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (/ E (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]taylor:  Taking taylor expansion of (/ E (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ E beta) into (/ E beta)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5/2 0) (+ (* 0 0) (* 0 E))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ E beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- E 1) into (- E 1)
* [misc]approximate:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]backup-simplify:  Simplify (exp 1/2) into (exp 1/2)
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]taylor:  Taking taylor expansion of (- E 1) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]taylor:  Taking taylor expansion of (- E 1) in beta
* [misc]taylor:  Taking taylor expansion of E in beta
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (- E 1) into (- E 1)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 1) 1)))) into (* -1 (/ E i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E i)) 0) into (- (/ E i))
* [misc]taylor:  Taking taylor expansion of (- (/ E i)) in i
* [misc]taylor:  Taking taylor expansion of (/ E i) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 2) 2)) (* (/ (pow (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) 1) 1)))) into (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E) 0) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/2 (/ E (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 5/2 in i
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (/ E (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ E 1) into E
* [misc]taylor:  Taking taylor expansion of (/ E (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of E in i
* [misc]backup-simplify:  Simplify E into E
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ E beta) into (/ E beta)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5/2 0) (+ (* 0 0) (* 0 E))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ E beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- E 1) into (- E 1)
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ alpha i) (+ alpha (* 2 i)))) into (exp (/ (+ alpha i) (+ alpha (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ alpha i) (+ alpha (* 2 i)))) -1) into (- (exp (/ (+ alpha i) (+ alpha (* 2 i)))) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp (/ (+ alpha i) (+ alpha (* 2 i)))) 1)) into (exp (/ (+ alpha i) (+ alpha (* 2 i))))
* [misc]backup-simplify:  Simplify (log (exp (/ (+ alpha i) (+ alpha (* 2 i))))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ alpha (* 2 i))) into (/ i (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta alpha)) into (/ 1 (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ beta i) (+ beta (* 2 i)))) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ beta i) (+ beta (* 2 i)))) -1) into (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]backup-simplify:  Simplify (log (exp (/ (+ beta i) (+ beta (* 2 i))))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ beta i) (+ beta (* 2 i)))) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ beta i) (+ beta (* 2 i)))) -1) into (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]backup-simplify:  Simplify (log (exp (/ (+ beta i) (+ beta (* 2 i))))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) into (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))
* [misc]backup-simplify:  Simplify (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))) into (/ (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ beta i) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta beta) (* 1 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (pow beta 2)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (+ (* 1 beta) (* 0 0))) into (* 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 0 (* 2 beta)) (+ (* 1 (pow beta 2)) (* 0 0))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))) 0) into (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) into (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) 1)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)))) 1) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i))))) into (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)))) into (- (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) (+ (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) (+ (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (- (pow beta 2) 1.0))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (/ i (pow (+ beta (* 2 i)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 2) 2)) (* (/ (pow (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 4))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 1/2 (/ 1 (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 4))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 1/2 (/ 1 (pow (+ beta (* 2 i)) 2))))) 0) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) 2)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))) 1)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ beta (pow (+ beta (* 2 i)) 3))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) (* 2 (/ 1 (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (* 1/2 (- (+ (* 2 (/ beta (pow (+ beta (* 2 i)) 3))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) (* 2 (/ 1 (pow (+ beta (* 2 i)) 2))))) (/ i (+ beta (* 2 i)))))) into (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))))) into (- (+ (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))))) (+ (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))))) (+ (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 52 in i
* [misc]backup-simplify:  Simplify 52 into 52
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 20 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 20 in i
* [misc]backup-simplify:  Simplify 20 into 20
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 11 in i
* [misc]backup-simplify:  Simplify 11 into 11
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) 0) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) 0) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (* 4 beta)) (* (* 4 beta) (- (pow beta 2) 1.0))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 8 (pow beta 3)) (* 4.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (/ 1 (* (- (pow beta 2) 1.0) beta))) into (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (- (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 10 in beta
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 2 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 2.0)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2.0) 1) 1)))) into (* -2.0 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 0) (+ (* 0 1) (* (* -2.0 (pow -1.0 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 1 1) (+ (* 0 beta) (* 0 0)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 (* 2 beta)) (+ (* 0 (pow beta 2)) (* 0 0)))) into (* 2 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (* 4 beta)) (* (* 4 beta) (- (pow beta 2) 1.0))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (- (/ (* 2 beta) (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 8 (pow beta 3)) (* 4.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 8 in beta
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 2 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 2.0)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2.0) 1) 1)))) into (* -2.0 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 0) (+ (* 0 1) (* (* -2.0 (pow -1.0 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 0 (+ beta (* 2 i)))) (* (/ i (pow (+ beta (* 2 i)) 3)) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 4)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 0 (+ beta (* 2 i)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ i (pow (+ beta (* 2 i)) 4)) (/ beta (pow (+ beta (* 2 i)) 4))))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 3) 6)) (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 1) 1) (/ (pow (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) 1) 1)) (* (/ (pow (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ i (pow (+ beta (* 2 i)) 4)) (/ beta (pow (+ beta (* 2 i)) 4)))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 1/6 (/ 1 (pow (+ beta (* 2 i)) 3))) (* 1/2 (/ beta (pow (+ beta (* 2 i)) 4))))) (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 5))) (+ (* 1/6 (/ (pow i 3) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 6))) (+ (/ (* beta i) (pow (+ beta (* 2 i)) 5)) (+ (* 1/2 (/ (* (pow beta 2) i) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 5))) (* 1/6 (/ (pow beta 3) (pow (+ beta (* 2 i)) 6)))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 1/6 (/ 1 (pow (+ beta (* 2 i)) 3))) (* 1/2 (/ beta (pow (+ beta (* 2 i)) 4))))) (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 5))) (+ (* 1/6 (/ (pow i 3) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 6))) (+ (/ (* beta i) (pow (+ beta (* 2 i)) 5)) (+ (* 1/2 (/ (* (pow beta 2) i) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 5))) (* 1/6 (/ (pow beta 3) (pow (+ beta (* 2 i)) 6))))))))))) 0) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 4))) (+ (* 1/6 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 3))) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 4))))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* (pow beta 2) i)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 3)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 3)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta (pow i 2))) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 5))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 5)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 5))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 4))) (+ (* 1/6 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 3))) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 4))))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* (pow beta 2) i)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 3)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 3)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta (pow i 2))) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 5))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 5)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 5))))))))))) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 4))) (+ (* 1/6 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 3))) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 4))))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* (pow beta 2) i)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 3)) (pow (+ beta (* 2 i)) 6))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 5)) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta (pow i 2))) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 5))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 5))) (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 3)) (pow (+ beta (* 2 i)) 6))))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) 3)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 3))) (* -3 (/ (* (pow (* 1 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) 1) (pow (* 2 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))) 1)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 4))) (+ (* 1/6 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 3))) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 4))))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* (pow beta 2) i)) (pow (+ beta (* 2 i)) 6))) (+ (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 3)) (pow (+ beta (* 2 i)) 6))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 5)) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta (pow i 2))) (pow (+ beta (* 2 i)) 6))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 5))) (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 5))) (* 1/6 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 3)) (pow (+ beta (* 2 i)) 6))))))))))) 1)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)))) 6) into (* 1/6 (- (* 6 (/ 1 (pow (+ beta (* 2 i)) 3))) (+ (* 6 (/ i (pow (+ beta (* 2 i)) 4))) (* 6 (/ beta (pow (+ beta (* 2 i)) 4))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 4)))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (* 1/2 (- (+ (* 2 (/ beta (pow (+ beta (* 2 i)) 3))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) (* 2 (/ 1 (pow (+ beta (* 2 i)) 2))))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (* 1/6 (- (* 6 (/ 1 (pow (+ beta (* 2 i)) 3))) (+ (* 6 (/ i (pow (+ beta (* 2 i)) 4))) (* 6 (/ beta (pow (+ beta (* 2 i)) 4)))))) (/ i (+ beta (* 2 i))))))) into (- (* 3 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 4 (/ (* beta i) (pow (+ beta (* 2 i)) 5))) (* 4 (/ (pow i 2) (pow (+ beta (* 2 i)) 5)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta (* 2 i)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (- (* 3 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 4 (/ (* beta i) (pow (+ beta (* 2 i)) 5))) (* 4 (/ (pow i 2) (pow (+ beta (* 2 i)) 5)))))) (+ (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)))))) into (- (+ (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))))) (+ (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))))) (+ (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 40 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 40 in i
* [misc]backup-simplify:  Simplify 40 into 40
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 100 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 100 in i
* [misc]backup-simplify:  Simplify 100 into 100
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))))) in i
* [misc]taylor:  Taking taylor expansion of (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 88 in i
* [misc]backup-simplify:  Simplify 88 into 88
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 4)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 5)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 200 in i
* [misc]backup-simplify:  Simplify 200 into 200
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 304 in i
* [misc]backup-simplify:  Simplify 304 into 304
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 30 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 30 in i
* [misc]backup-simplify:  Simplify 30 into 30
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 64 in i
* [misc]backup-simplify:  Simplify 64 into 64
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 104 in i
* [misc]backup-simplify:  Simplify 104 into 104
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 96 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 96 in i
* [misc]backup-simplify:  Simplify 96 into 96
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 5)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 64 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 64 in i
* [misc]backup-simplify:  Simplify 64 into 64
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 224 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 224 in i
* [misc]backup-simplify:  Simplify 224 into 224
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 5)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 5)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 3 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 4 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ 4 (pow (- (pow beta 2) 1.0) 2)) 0) into (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))) into (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 3 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2))) 0) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow (- (pow beta 2) 1.0) 2)) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))) (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2)))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (/ 1 (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 1) into -1.0
* [misc]backup-simplify:  Simplify (/ 1 -1.0) into -1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (/ 1 (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 0) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 1 -1.0)) (* 0 (/ 0 -1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (- 1.0) (/ 1 (pow -1.0 2))) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 1 (pow -1.0 2)) 1.0) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (pow -1.0 2)) 1.0) (* 1 (* i (pow alpha 3)))) (+ (* -1.0 (pow (* 1 (* i 1)) 2)) (* -1.0 (* 1 (* i alpha))))) into (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (exp 1/2) into (exp 1/2)
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp 1/2) -1) into (- (exp 1/2) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp 1/2) 1)) into (exp 1/2)
* [misc]backup-simplify:  Simplify (log (exp 1/2)) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i)) into (/ (+ (/ 1 i) (/ 1 beta)) i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 i) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) 1) (+ (* 1 (/ 0 1)))) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 1) 1)))) into (* -1 (/ E i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E i)) 0) into (- (/ E i))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ E i))) into (- (/ E i))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ E i))) 1)) (pow E 1)))) 1) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (/ -1 i) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ 1 i))) into (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 2) 2)) (* (/ (pow (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) 1) 1)))) into (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E) 0) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ E i))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) 1)) (pow E 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (/ -1 i) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2))))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) (/ 1 i)))) into (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25 (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of 25 in i
* [misc]backup-simplify:  Simplify 25 into 25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 50 (/ 1 (* beta (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of 50 in i
* [misc]backup-simplify:  Simplify 50 into 50
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* (pow beta 3) i))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 3) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 31 in i
* [misc]backup-simplify:  Simplify 31 into 31
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 3)) (/ 0 (pow beta 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (pow beta 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 31 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]backup-simplify:  Simplify (exp 1/2) into (exp 1/2)
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp 1/2) -1) into (- (exp 1/2) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp 1/2) 1)) into (exp 1/2)
* [misc]backup-simplify:  Simplify (log (exp 1/2)) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i)) into (/ (+ (/ 1 i) (/ 1 beta)) i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (/ 1 i) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ (/ 1 beta) 1) (+ (* 1 (/ 0 1)))) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 1) 1)))) into (* -1 (/ E i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E i)) 0) into (- (/ E i))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ E i))) into (- (/ E i))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ E i))) 1)) (pow E 1)))) 1) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (/ -1 i) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ 1 i))) into (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (pow i 3))) (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ 1 (* beta (pow i 2)))) (* 3 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 beta) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 2) 2)) (* (/ (pow (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) 1) 1)))) into (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E) 0) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ E i))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) 1)) (pow E 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (/ -1 i) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2))))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 i) (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) (/ 1 i)))) into (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25 (/ 1 (pow i 4))) (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25 (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of 25 in i
* [misc]backup-simplify:  Simplify 25 into 25
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 (* beta i))) (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 50 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 50 (/ 1 (* beta (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of 50 in i
* [misc]backup-simplify:  Simplify 50 into 50
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* (pow beta 3) i))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 3) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) (* 1.0 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 31 (/ 1 (* (pow beta 2) (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 31 in i
* [misc]backup-simplify:  Simplify 31 into 31
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 3)) (/ 0 (pow beta 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (/ 1 (pow beta 3)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 31 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ alpha i) (+ alpha (* 2 i)))) into (exp (/ (+ alpha i) (+ alpha (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ alpha i) (+ alpha (* 2 i)))) -1) into (- (exp (/ (+ alpha i) (+ alpha (* 2 i)))) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp (/ (+ alpha i) (+ alpha (* 2 i)))) 1)) into (exp (/ (+ alpha i) (+ alpha (* 2 i))))
* [misc]backup-simplify:  Simplify (log (exp (/ (+ alpha i) (+ alpha (* 2 i))))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ alpha (* 2 i))) into (/ i (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta alpha)) into (/ 1 (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ beta i) (+ beta (* 2 i)))) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ beta i) (+ beta (* 2 i)))) -1) into (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]backup-simplify:  Simplify (log (exp (/ (+ beta i) (+ beta (* 2 i))))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (exp (/ (+ beta i) (+ beta (* 2 i)))) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp (/ (+ beta i) (+ beta (* 2 i)))) -1) into (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)) into (exp (/ (+ beta i) (+ beta (* 2 i))))
* [misc]backup-simplify:  Simplify (log (exp (/ (+ beta i) (+ beta (* 2 i))))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) into (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (+ beta i) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 1 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))) 0) into (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) into (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) 1)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)))) 1) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i))))) into (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) (- (* 2 (/ 1 (pow beta 2))))) into (- (/ 1 (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (pow beta 2)) (+ (* (/ 1 beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 3 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (/ i (pow (+ beta (* 2 i)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ (* (/ (pow (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) 2) 2)) (* (/ (pow (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) 1) 1)))) into (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 4))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 1/2 (/ 1 (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (- (+ (* 1/2 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (+ (* 1/2 (/ (pow beta 2) (pow (+ beta (* 2 i)) 4))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 1/2 (/ 1 (pow (+ beta (* 2 i)) 2))))) 0) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))) into (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (+ beta (* 2 i))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) i) (pow (+ beta (* 2 i)) 2)) (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) beta) (pow (+ beta (* 2 i)) 2))))) 2)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow i 2)) (pow (+ beta (* 2 i)) 4))) (+ (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (* beta i)) (pow (+ beta (* 2 i)) 4)) (* 1/2 (/ (* (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow beta 2)) (pow (+ beta (* 2 i)) 4))))) (* 1/2 (/ (exp (/ (+ beta i) (+ beta (* 2 i)))) (pow (+ beta (* 2 i)) 2))))) 1)) (pow (exp (/ (+ beta i) (+ beta (* 2 i)))) 1)))) 2) into (* 1/2 (- (+ (* 2 (/ beta (pow (+ beta (* 2 i)) 3))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) (* 2 (/ 1 (pow (+ beta (* 2 i)) 2)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (* 1/2 (- (+ (* 2 (/ beta (pow (+ beta (* 2 i)) 3))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) (* 2 (/ 1 (pow (+ beta (* 2 i)) 2))))) (/ i (+ beta (* 2 i)))))) into (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ i (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 3))) into (/ 2 (pow beta 3))
* [misc]backup-simplify:  Simplify (- (/ 2 (pow beta 3))) into (- (* 2 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 (pow beta 3))) (- (* 2 (/ 1 (pow beta 3))))) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* (/ 1 (pow beta 2)) (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 3)) (+ (* (/ 1 (pow beta 2)) (/ (* 6 (pow beta 2)) (pow beta 3))))) into (- (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* 6 (/ 1 (pow beta 3))))) (* 0 (/ 1 (pow beta 2)))) into (- (* 12 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 3))) into (/ 2 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ (- (* 12 (/ 1 (pow beta 3)))) (/ 2 (pow beta 3))) into (- (* 10 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- (- (* 10 (/ 1 (pow beta 3))))) into (* 10 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (- (* 4 (/ 1 (pow beta 3)))) (* 10 (/ 1 (pow beta 3)))) into (* 6 (/ 1 (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (exp 1/2) into (exp 1/2)
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp 1/2) -1) into (- (exp 1/2) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp 1/2) 1)) into (exp 1/2)
* [misc]backup-simplify:  Simplify (log (exp 1/2)) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 1) 1)))) into (* -1 (/ E i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E i)) 0) into (- (/ E i))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ E i))) into (- (/ E i))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ E i))) 1)) (pow E 1)))) 1) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (/ -1 i) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 2) 2)) (* (/ (pow (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) 1) 1)))) into (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E) 0) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ E i))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) 1)) (pow E 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (/ -1 i) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2))))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]backup-simplify:  Simplify (exp 1/2) into (exp 1/2)
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ (exp 1/2) -1) into (- (exp 1/2) 1)
* [misc]backup-simplify:  Simplify (+ 1 (- (exp 1/2) 1)) into (exp 1/2)
* [misc]backup-simplify:  Simplify (log (exp 1/2)) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (log1p (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Rewrote expression to (log (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ 1 (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (expm1 (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Rewrote expression to (- (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) 1)
* [misc]taylor:  Taking taylor expansion of (exp (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (exp 1) into E
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ E -1) into (- E 1)
* [misc]backup-simplify:  Simplify (+ 1 (- E 1)) into E
* [misc]backup-simplify:  Simplify (log E) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 1) 1)))) into (* -1 (/ E i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ E i)) 0) into (- (/ E i))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ E i))) into (- (/ E i))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ E i))) 1)) (pow E 1)))) 1) into (/ -1 i)
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (/ -1 i) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (* (exp 1) (+ (* (/ (pow (- (/ 1 i)) 2) 2)) (* (/ (pow (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) 1) 1)))) into (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 (* beta i)) (* 5/2 (/ 1 (pow i 2)))) E) 0) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) into (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ E i))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 5/2 (/ E (pow i 2))) (/ E (* beta i)))) 1)) (pow E 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (/ -1 i) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (* 1/2 (+ (* 2 (/ 1 (* beta i))) (* 4 (/ 1 (pow i 2))))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (log1p (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 2 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (expm1 (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 3 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (pow (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 1) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 4 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* * * * [misc]progress:  [ 5 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 6 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (log (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 7 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (479 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 8 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 9 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 10 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 11 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (- (fma (+ (+ alpha i) beta) i (* beta alpha))) (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (386 enodes)
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [enter]simplify:  Simplifying (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 12 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 13 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 14 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 15 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 16 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 17 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 18 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 19 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 20 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 1) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* * * * [misc]progress:  [ 21 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 22 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 23 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 24 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 25 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 26 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* * * * [misc]progress:  [ 27 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 28 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 29 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 30 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (exp (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 31 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (log1p (expm1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (expm1 (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (expm1 (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 32 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 33 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 34 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (pow (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 35 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (exp (log (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (log (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (log (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 36 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (log (exp (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (exp (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (exp (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 37 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (* (* (cbrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (cbrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* [exit]simplify:  Simplified to (* (cbrt (expm1 (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))) (cbrt (expm1 (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (* (cbrt (expm1 (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))) (cbrt (expm1 (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))))
* [enter]simplify:  Simplifying (cbrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (cbrt (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (cbrt (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 38 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (cbrt (* (* (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* [exit]simplify:  Simplified to (pow (expm1 (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))) 3)
* [exit]simplify:  Simplified to (pow (expm1 (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))) 3)
* * * * [misc]progress:  [ 39 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (* (sqrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (sqrt (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [enter]simplify:  Simplifying (sqrt (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (sqrt (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (sqrt (expm1 (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 40 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (* 1 (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 41 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (expm1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (expm1 (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 42 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log1p (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (log1p (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 43 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) 1))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 44 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) 1))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 45 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) 1))>
* * * * [misc]progress:  [ 46 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (321 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (log (fma (+ i (+ alpha beta)) i (* beta alpha)))) (- (log (/ i (fma 2 i (+ alpha beta)))) (log (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (log (fma (+ i (+ alpha beta)) i (* beta alpha)))) (- (log (/ i (fma 2 i (+ alpha beta)))) (log (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 47 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (328 enodes)
* [exit]simplify:  Simplified to (+ (- (log (fma (+ beta (+ i alpha)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (log (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (+ (- (log (fma (+ beta (+ i alpha)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (log (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 48 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (log (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))) (log (/ i (+ (fma i 2 beta) alpha)))) (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))) (log (/ i (+ (fma i 2 beta) alpha)))) (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 49 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (/ (+ i (+ alpha beta)) (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) i))) (log (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (+ (log (/ (/ (+ i (+ alpha beta)) (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) i))) (log (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 50 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (427 enodes)
* [exit]simplify:  Simplified to (log (/ (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ i (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (log (/ (* (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ i (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 51 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (exp (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (363 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ (+ (fma i 2 beta) alpha) (+ (+ beta i) alpha)) (/ (+ (fma i 2 beta) alpha) i))))
* [exit]simplify:  Simplified to (exp (/ (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ (+ (fma i 2 beta) alpha) (+ (+ beta i) alpha)) (/ (+ (fma i 2 beta) alpha) i))))
* * * * [misc]progress:  [ 52 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (269 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (* (* i i) i) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (pow (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) 3)) (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (* (/ (/ (* (* i i) i) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (pow (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) 3)) (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* * * * [misc]progress:  [ 53 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (246 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3) (pow (* (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) 3))
* [exit]simplify:  Simplified to (* (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3) (pow (* (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) 3))
* * * * [misc]progress:  [ 54 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) 3) (/ (/ (* (* i i) i) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (* (pow (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) 3) (/ (/ (* (* i i) i) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) 3))
* * * * [misc]progress:  [ 55 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (209 enodes)
* [exit]simplify:  Simplified to (* (pow (* (/ i (fma i 2 (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta)))) 3) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) 3))
* [exit]simplify:  Simplified to (* (pow (* (/ i (fma i 2 (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta)))) 3) (pow (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) 3))
* * * * [misc]progress:  [ 56 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (* (/ i (+ alpha (fma i 2 beta))) (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))) (cbrt (/ (* (/ i (+ alpha (fma i 2 beta))) (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (* (/ i (+ alpha (fma i 2 beta))) (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))) (cbrt (/ (* (/ i (+ alpha (fma i 2 beta))) (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))))))
* [enter]simplify:  Simplifying (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (cbrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 57 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (165 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) 3)
* * * * [misc]progress:  [ 58 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))) (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* [enter]simplify:  Simplifying (sqrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (sqrt (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ i (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 59 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i)) (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma i (+ i alpha) (* beta i)) i (* (* beta i) alpha)) (/ (+ alpha (fma i 2 beta)) (+ beta (+ i alpha))))
* [exit]simplify:  Simplified to (/ (fma (fma i (+ i alpha) (* beta i)) i (* (* beta i) alpha)) (/ (+ alpha (fma i 2 beta)) (+ beta (+ i alpha))))
* [enter]simplify:  Simplifying (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 60 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 61 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ i (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (255 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (+ (fma i 2 beta) alpha)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (+ (fma i 2 beta) alpha)))
* * * * [misc]progress:  [ 62 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 63 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 64 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* * * * [misc]progress:  [ 65 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* * * * [misc]progress:  [ 66 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 67 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (cbrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* * * * [misc]progress:  [ 68 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (348 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (+ beta (fma 2 i alpha)) i)) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (+ alpha (+ beta i)) (+ beta (fma 2 i alpha)))))
* * * * [misc]progress:  [ 69 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (354 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha)) (/ i (+ (fma i 2 beta) alpha))) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 70 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta (+ i alpha)) (* (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha))) (/ (* (fma (+ beta (+ i alpha)) i (* beta alpha)) i) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (+ beta (+ i alpha)) (* (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha))) (/ (* (fma (+ beta (+ i alpha)) i (* beta alpha)) i) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 71 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (98 enodes)
* * [misc]simplify:  iters left: 3 (352 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta (+ i alpha)) (* (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha))) (/ (* (fma (+ beta (+ i alpha)) i (* beta alpha)) i) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (+ beta (+ i alpha)) (* (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha))) (/ (* (fma (+ beta (+ i alpha)) i (* beta alpha)) i) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 72 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ 1 1) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 73 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (/ (fma i 2 (+ alpha beta)) i)) (/ (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)) (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 74 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (347 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (+ i (+ beta alpha)) i) (* (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)))) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (/ (* (+ i (+ beta alpha)) i) (* (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)))) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))
* * * * [misc]progress:  [ 75 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i)) (+ (fma i 2 alpha) beta)))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (271 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (+ beta (+ i alpha)) i (* beta alpha)) i) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (/ (* (fma (+ beta (+ i alpha)) i (* beta alpha)) i) (/ (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 76 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))>
* [enter]simplify:  Simplifying (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (* (* (/ i (+ alpha (fma i 2 beta))) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta)))) (fma (+ beta (+ i alpha)) i (* beta alpha)))
* [exit]simplify:  Simplified to (* (* (/ i (+ alpha (fma i 2 beta))) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta)))) (fma (+ beta (+ i alpha)) i (* beta alpha)))
* * * * [misc]progress:  [ 77 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))>
* * * * [misc]progress:  [ 78 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (log1p (expm1 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (expm1 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [exit]simplify:  Simplified to (expm1 (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* * * * [misc]progress:  [ 79 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (expm1 (log1p (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log1p (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [exit]simplify:  Simplified to (log1p (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* * * * [misc]progress:  [ 80 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (pow (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) 1)))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) i))
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) i))
* * * * [misc]progress:  [ 81 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (pow (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) 1)))>
* * * * [misc]progress:  [ 82 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (exp (+ (log (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (+ (log (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (112 enodes)
* * [misc]simplify:  iters left: 1 (231 enodes)
* [exit]simplify:  Simplified to (+ (log (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta)))) (log (/ i (+ alpha (fma i 2 beta)))))
* [exit]simplify:  Simplified to (+ (log (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta)))) (log (/ i (+ alpha (fma i 2 beta)))))
* * * * [misc]progress:  [ 83 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (exp (log (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (log (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (118 enodes)
* * [misc]simplify:  iters left: 2 (289 enodes)
* [exit]simplify:  Simplified to (log (/ (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) i)))
* [exit]simplify:  Simplified to (log (/ (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) i)))
* * * * [misc]progress:  [ 84 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (log (exp (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (exp (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [exit]simplify:  Simplified to (exp (/ (/ (+ i (+ alpha beta)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* * * * [misc]progress:  [ 85 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (400 enodes)
* [exit]simplify:  Simplified to (* (pow (/ i (fma i 2 (+ alpha beta))) 3) (pow (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) 3))
* [exit]simplify:  Simplified to (* (pow (/ i (fma i 2 (+ alpha beta))) 3) (pow (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) 3))
* * * * [misc]progress:  [ 86 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (cbrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (cbrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (cbrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (219 enodes)
* * [misc]simplify:  iters left: 1 (458 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (/ i (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))))) (cbrt (/ (/ i (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (/ i (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))))) (cbrt (/ (/ i (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))))))
* [enter]simplify:  Simplifying (cbrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [exit]simplify:  Simplified to (cbrt (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* * * * [misc]progress:  [ 87 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (365 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ i (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) (+ beta (+ i alpha)))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ i (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) (+ beta (+ i alpha)))) 3)
* * * * [misc]progress:  [ 88 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) (sqrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (sqrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [enter]simplify:  Simplifying (sqrt (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (215 enodes)
* * [misc]simplify:  iters left: 1 (454 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* [exit]simplify:  Simplified to (sqrt (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i)))
* * * * [misc]progress:  [ 89 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 90 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta))))) (cbrt (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (284 enodes)
* [exit]simplify:  Simplified to (/ (* (+ beta (+ i alpha)) (cbrt (/ i (fma i 2 (+ alpha beta))))) (/ (fma i 2 (+ alpha beta)) (cbrt (/ i (fma i 2 (+ alpha beta))))))
* [exit]simplify:  Simplified to (/ (* (+ beta (+ i alpha)) (cbrt (/ i (fma i 2 (+ alpha beta))))) (/ (fma i 2 (+ alpha beta)) (cbrt (/ i (fma i 2 (+ alpha beta))))))
* * * * [misc]progress:  [ 91 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ i (+ alpha (fma i 2 beta)))) (/ (+ alpha (fma i 2 beta)) (+ (+ alpha beta) i)))
* [exit]simplify:  Simplified to (/ (sqrt (/ i (+ alpha (fma i 2 beta)))) (/ (+ alpha (fma i 2 beta)) (+ (+ alpha beta) i)))
* * * * [misc]progress:  [ 92 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) 1) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (99 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta)))
* [exit]simplify:  Simplified to (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta)))
* * * * [misc]progress:  [ 93 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i) (/ 1 (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 94 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (pow (fma i 2 alpha) 3) (pow beta 3)))) (+ (* (fma i 2 alpha) (fma i 2 alpha)) (- (* beta beta) (* (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (pow (fma i 2 alpha) 3) (pow beta 3))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (194 enodes)
* [exit]simplify:  Simplified to (/ i (/ (fma (* beta beta) beta (pow (fma 2 i alpha) 3)) (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta))))
* [exit]simplify:  Simplified to (/ i (/ (fma (* beta beta) beta (pow (fma 2 i alpha) 3)) (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta))))
* * * * [misc]progress:  [ 95 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta)))) (- (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) (* beta beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (229 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (/ (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ i (- (fma 2 i alpha) beta))))
* [exit]simplify:  Simplified to (/ (+ alpha (+ beta i)) (/ (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ i (- (fma 2 i alpha) beta))))
* * * * [misc]progress:  [ 96 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (cbrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (cbrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))) (* (cbrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (cbrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))) (/ i (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (cbrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))) (/ i (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 97 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (* (sqrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))) (/ i (+ alpha (fma i 2 beta))))
* [exit]simplify:  Simplified to (* (sqrt (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta)))) (/ i (+ alpha (fma i 2 beta))))
* * * * [misc]progress:  [ 98 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* 1 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (216 enodes)
* * [misc]simplify:  iters left: 1 (455 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) i))
* [exit]simplify:  Simplified to (/ (/ (+ beta (+ i alpha)) (+ (fma 2 i alpha) beta)) (/ (+ (fma 2 i alpha) beta) i))
* * * * [misc]progress:  [ 99 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) i)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (74 enodes)
* * [misc]simplify:  iters left: 2 (111 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* [exit]simplify:  Simplified to (/ (fma i (+ i alpha) (* beta i)) (+ alpha (fma i 2 beta)))
* * * * [misc]progress:  [ 100 / 112 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ i (+ (fma i 2 alpha) beta)) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))))>
* * * * [misc]progress:  [ 101 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i))))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (166 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ beta (+ alpha i)) (fma i 2 (+ alpha beta))) (fma alpha (* beta 1.0) (* (* i 1.0) (+ alpha i)))) (- (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 102 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* 0 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 0 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 103 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* 0 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 0 (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (217 enodes)
* * [misc]simplify:  iters left: 1 (456 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 104 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- E 1)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- E 1)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (+ (fma i 2 beta) alpha) (* (log1p (- E 1)) i)))
* * * * [misc]progress:  [ 105 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- E 1)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- E 1)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (+ (fma i 2 beta) alpha) (* (log1p (- E 1)) i)))
* * * * [misc]progress:  [ 106 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- E 1)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (- E 1)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (+ (fma i 2 beta) alpha) (* (log1p (- E 1)) i)))
* * * * [misc]progress:  [ 107 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i))))))>
* [enter]simplify:  Simplifying (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (442 enodes)
* [exit]simplify:  Simplified to (- (/ (* i alpha) (* (/ -1.0 alpha) (/ -1.0 alpha))) (* (* 1.0 i) (fma (fma alpha alpha 1) alpha i)))
* * * * [misc]progress:  [ 108 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 109 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 110 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 111 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 112 / 112 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0))>
* [enter]simplify:  Simplifying (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 0)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to 0
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 8
* [misc]none:  All alts: 9
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Non-fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) 0)
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 1
* [misc]none:  (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 2
* [misc]none:  (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))): 3
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))): 4
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 5
* [misc]none:  (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 6
* [misc]none:  (λ (alpha beta i) 0): 7
* [misc]none:  Best fresh alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 7
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 7
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 7
* [misc]none:  (5.61934277918027e+174 2.7945548512777507e-93 8.596129346916678e+204): 7
* [misc]none:  (-4.080831534294507e-88 1.402410735611396e-279 3.476204105958582e+266): 7
* [misc]none:  (4.255354559505271e-229 555031477569.7085 3.299744586399722e+213): 7
* [misc]none:  (3.7973607488961015e+232 1.6373878856164477e-262 6.879985829801786e+55): 0
* [misc]none:  (6.766050376169892e+154 4.2022977025573256e+223 2.182590077894994e+226): 7
* [misc]none:  (6.735844817040533e-195 3.4865714643101984e+34 1.7357028950249683e+168): 7
* [misc]none:  (-1.1961798405282767e-173 1.2796527454892258e+245 3.4022559315451535e+93): 7
* [misc]none:  (4.4470255968472246e-241 -1.71025345910351e-270 7.068559296425852e+56): 0
* [misc]none:  (7.190485440730506e-86 8.537836348446779e-200 1.6607770721893586e+152): 1
* [misc]none:  (1.9072763343588818e+257 8.042811165456128e-282 2.8647980908948046e+186): 7
* [misc]none:  (-4.439394655811471e-264 7.319785109107187e-305 4.385881120320383e+222): 7
* [misc]none:  (-6.158408114466146e-48 3.564974554152259e-26 3.3111576747354065e+177): 7
* [misc]none:  (9.710705703567448e-84 -5.970171916063175e-49 4.445007074989548e+137): 2
* [misc]none:  (-2.83249595786485e-50 5.163288024601075e+70 6.892681868285218e+108): 0
* [misc]none:  (3.097079364057181e-284 -1.3822334033532158e-301 2.502192339955283e+150): 2
* [misc]none:  (4.9216163308759326e+39 -1.720661369578677e-48 1.1471432158008706e+123): 0
* [misc]none:  (3.0141907850007194e-198 -1.1297823189716283e-207 5.182568802050799e+101): 0
* [misc]none:  (1.3358328721280612e-281 3.868486220615868e+260 5.604494982908127e+203): 7
* [misc]none:  (-1.083448091852679e-178 -7.03924037089523e-157 5.647439974261731e+167): 7
* [misc]none:  (4.4356684044462544e+271 1.0744031960883307e+47 2.519690540973018e+131): 7
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* [misc]none:  (-1.0765060682560458e-246 -4.6277869750510783e-144 3.795038096706946e+182): 7
* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 7
* [misc]none:  (6.116147427060389e-32 9.511600252423525e+170 2.2725679593631724e+298): 7
* [misc]none:  (3.1672292868847214e-144 653491334.4246826 1.432430706656674e+219): 7
* [misc]none:  (7.131291251326984e+48 1.2653668806469008e-92 3.266757899419237e+198): 7
* [misc]none:  (6.458691847508881e+69 829599168773.0343 18086589454752.758): 6
* [misc]none:  (-3.2351325618271345e-42 4.261425297233509e+153 1.5233351795557236e+24): 0
* [misc]none:  (1.0225698962758457e-94 1.784550664801416e-298 2.423998462399398e+206): 7
* [misc]none:  (1.1442850064000795e+99 -1.4800207552124702e-256 2.4296073503142346e+68): 2
* [misc]none:  (3.014484695409733e+57 3.3171609772172066e-289 1.3430004585363498e+134): 2
* [misc]none:  (1.501266220429651e-263 -1.2530485793211995e-269 7.407720043891076e+155): 7
* [misc]none:  (-2.2593763942192146e-129 4.0091412779934875e-238 6.607171502367103e+169): 7
* [misc]none:  (6.995720386300373e+104 3.8384340182153484e-49 9.620625619460696e+213): 7
* [misc]none:  (6.758168963092835e+164 -1.923286656584035e-47 7.53886550553743e+200): 7
* [misc]none:  (1.1425963691426196e-115 2.476068903381355e+223 2.2213322779046326e+36): 0
* [misc]none:  (1.06655378325662e+185 3.69177291953895e+84 2.3240626459217843e+149): 7
* [misc]none:  (-3.905589656930878e-252 1.2612168896987016e+303 1.0962460914940638e+42): 7
* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 6
* [misc]none:  (5.484661529229837e+28 -2.174324126133859e-155 1.9635796742820443e+297): 7
* [misc]none:  (2.2798597413137147e+148 5.187162090035784e-186 2.5872250313485287e+98): 0
* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
* [misc]none:  (-0.005306782953594571 1.0847318041964328e-07 1.2280579168928925e+65): 0
* [misc]none:  (1.412798342522468e+164 -0.16704113898223302 1.9405216656894077e+231): 7
* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
* [misc]none:  (5.703723021316481e-184 -3.080840759537892e-140 8.43842290851504e+114): 0
* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 7
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 2
* [misc]none:  (3.771679078669615e+248 3.477794628051976e+302 1.397330850998359e+148): 7
* [misc]none:  (-1.3659393694755206e-271 5.835710351121424e-18 1.2303409174360135e+260): 7
* [misc]none:  (-4.433528855674276e-143 -3.126782663481013e-63 1.5951432041053418e+27): 0
* [misc]none:  (-1.2274584135804626e-159 4.688132673155381e+234 1.1056347807542906e+178): 7
* [misc]none:  (-9.408270833530164e-153 9.343476744547095e+193 3.215066426288478e+182): 7
* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 2
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 7
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 7
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 7
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 2
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 7
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 7
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 7
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 7
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 7
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 7
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 7
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 7
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 7
* [misc]none:  All alt indexes
* [misc]none:  (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 1
* [misc]none:  (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 2
* [misc]none:  (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))): 3
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))): 4
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 5
* [misc]none:  (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 6
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))): 7
* [misc]none:  (λ (alpha beta i) 0): 8
* [misc]none:  Best alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 8
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 8
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 8
* [misc]none:  (5.61934277918027e+174 2.7945548512777507e-93 8.596129346916678e+204): 8
* [misc]none:  (-4.080831534294507e-88 1.402410735611396e-279 3.476204105958582e+266): 8
* [misc]none:  (4.255354559505271e-229 555031477569.7085 3.299744586399722e+213): 8
* [misc]none:  (3.7973607488961015e+232 1.6373878856164477e-262 6.879985829801786e+55): 0
* [misc]none:  (6.766050376169892e+154 4.2022977025573256e+223 2.182590077894994e+226): 8
* [misc]none:  (6.735844817040533e-195 3.4865714643101984e+34 1.7357028950249683e+168): 8
* [misc]none:  (-1.1961798405282767e-173 1.2796527454892258e+245 3.4022559315451535e+93): 8
* [misc]none:  (4.4470255968472246e-241 -1.71025345910351e-270 7.068559296425852e+56): 0
* [misc]none:  (7.190485440730506e-86 8.537836348446779e-200 1.6607770721893586e+152): 1
* [misc]none:  (1.9072763343588818e+257 8.042811165456128e-282 2.8647980908948046e+186): 8
* [misc]none:  (-4.439394655811471e-264 7.319785109107187e-305 4.385881120320383e+222): 8
* [misc]none:  (-6.158408114466146e-48 3.564974554152259e-26 3.3111576747354065e+177): 8
* [misc]none:  (9.710705703567448e-84 -5.970171916063175e-49 4.445007074989548e+137): 2
* [misc]none:  (-2.83249595786485e-50 5.163288024601075e+70 6.892681868285218e+108): 0
* [misc]none:  (3.097079364057181e-284 -1.3822334033532158e-301 2.502192339955283e+150): 2
* [misc]none:  (4.9216163308759326e+39 -1.720661369578677e-48 1.1471432158008706e+123): 0
* [misc]none:  (3.0141907850007194e-198 -1.1297823189716283e-207 5.182568802050799e+101): 0
* [misc]none:  (1.3358328721280612e-281 3.868486220615868e+260 5.604494982908127e+203): 8
* [misc]none:  (-1.083448091852679e-178 -7.03924037089523e-157 5.647439974261731e+167): 8
* [misc]none:  (4.4356684044462544e+271 1.0744031960883307e+47 2.519690540973018e+131): 8
* [misc]none:  (2.945387670994063e+21 -1.1090785722583569e-172 9.425834399197272e+24): 1
* [misc]none:  (-1.5956346162151835e-117 2.1651094566695785e-259 8.090384072211944e+222): 8
* [misc]none:  (7.993722147828383e-111 1.3572468481668781e+45 1.3529207365462511e+132): 2
* [misc]none:  (-2.142874593016839e-183 -1.4847788116065533e-88 5.752677339125854e+212): 8
* [misc]none:  (1.985812550466042e-201 4.1258809057875005e-127 2.7466215177320597e+250): 8
* [misc]none:  (-4.620512466049411e-201 -2.0060175050360887e-307 2.6144645569087944e+278): 8
* [misc]none:  (-1.1015952537498483e-79 -7.010321277061088e-67 2.086947421573907e+83): 0
* [misc]none:  (1.8696990318611146e+117 1.4671237477497495e-96 3.1151972975142725e+121): 7
* [misc]none:  (5.785254961192753e-60 2.32384995099013e+36 2.1598217809064176e+52): 6
* [misc]none:  (1.4428163470894284e+174 -1.2477683116919208e-262 1.590072085688416e+184): 8
* [misc]none:  (-7.503171363984619e-265 7.155555736010119e-55 1.6284673906115043e+240): 8
* [misc]none:  (-1.882691928566161e-235 2.6751238219744926e+23 6.250977213949913e+48): 0
* [misc]none:  (3.034361951330774e-64 -1.2027222718566995e-212 5.396205512421438e+212): 8
* [misc]none:  (2.966548220747157e+50 1.2896694314533046e-264 1.499448335849532e+181): 8
* [misc]none:  (6.688605127241465e-101 5.481648263509847e+270 3.4684867971028833e+80): 8
* [misc]none:  (2.575810898246411e-276 -4.146599016515306e-32 2.973934760980684e+113): 0
* [misc]none:  (1.6981670539636527e-79 -3.085525367781527e-221 6.405779977994198e+198): 8
* [misc]none:  (1.703142057165065e-179 -6.003832016662982e-117 1.0615495140680088e+205): 8
* [misc]none:  (-4.0157523967296e-295 6.090658404564618e+43 1.1386339373743357e+206): 8
* [misc]none:  (-7.556635495994182e-69 3.103848019193651e+243 8.453545965133498e+143): 8
* [misc]none:  (1.1730723403688846e+245 4.861101217107048e+55 5.8999836082374456e+268): 8
* [misc]none:  (2.9867240054370298e-251 -4.3008360185026807e-256 1.269399768057663e+43): 0
* [misc]none:  (9.119699701572206e-49 7.723937088011922e+108 3.9023903595142866e+139): 0
* [misc]none:  (16429.403121678595 1.2014673382948509e+38 1.0981950950221976e+219): 8
* [misc]none:  (1.3202614460517625e-240 7.314215359078128e+129 3.7428804421293206e+215): 8
* [misc]none:  (6.321301209078189e-220 6.928224803602588e+80 2.165855503187697e+89): 2
* [misc]none:  (10803225195616.197 2.159743713967773e-250 2.3543562591768827e+58): 2
* [misc]none:  (4.270779703545474e-63 -2.117874027734717e-163 5.953160686920047e+164): 8
* [misc]none:  (0.0005238454937889118 3.070493024699081 6.337522764052516e+126): 0
* [misc]none:  (8.528108993290675e-253 -4.1898464441488203e-137 9.46393443940892e+285): 8
* [misc]none:  (-4.975178067178524e-21 0.03732745766732279 8.251226474222128e+37): 2
* [misc]none:  (-5.439240507275032e-140 5.399166791278046e+231 4.3225691073250876e+32): 0
* [misc]none:  (1.3437221244491323e-292 -5.3095387033978475e-104 1.8236317557073592e+229): 8
* [misc]none:  (3.8045839576546524e+117 -3.366600938527443e-229 8.831949184271932e+49): 2
* [misc]none:  (-1.3200985233860335e-145 3.5203085076867497e-73 8.70539250471527e+42): 0
* [misc]none:  (-3.066537179692076e-36 2.0030385378791884e+102 8.533420652729534e+16): 3
* [misc]none:  (5.034099319395416e+239 5.868371344683794e-64 4.493411481746003e+112): 8
* [misc]none:  (9.915189055688673e+31 4.6661758735122403e+89 1020430975837.7806): 2
* [misc]none:  (-9.015358049870172e-253 558765569177.7742 2.5692070607205773e+213): 8
* [misc]none:  (4.192946055583942e-172 -1.0961281871162937e-210 5.524671034450979e+282): 8
* [misc]none:  (-9.607501222403516e-36 4.220566541619549e+229 5.921294846763385e+194): 8
* [misc]none:  (8.273981036707964e-83 8.213740624558702e+241 2.6697511218695737e+44): 0
* [misc]none:  (1.9472971042210116e+55 2.410325679373688e-102 1.2460611268797603e+123): 0
* [misc]none:  (1.2113257201693619e-09 1.0645841166201473e+305 1.0149607196063749e+197): 8
* [misc]none:  (1.5085190131561967e-05 4.2246387051977007e-103 1939855977582.9888): 0
* [misc]none:  (-3.189485391989517e-100 1.1187409033955635e-281 5.133128649969222e+296): 8
* [misc]none:  (5.28422336248824e+51 5.881924477500074e+164 3.136906425775605e+223): 8
* [misc]none:  (5.5221836188934915e+228 -2.0387775949624775e-153 1.5538746110121737e+112): 8
* [misc]none:  (-6.409489369008477e-07 -6.541221037831606e-307 4.361739700462092e+218): 8
* [misc]none:  (1.1872595304409585e+18 6.941751691580495e+242 3.652622136346556e+302): 8
* [misc]none:  (1.4086398467772494e+94 1.4386272259034584e-276 1.3688677161205143e+73): 6
* [misc]none:  (-2.3002575529977387e-191 5.475366456312332e+86 9.707862134458523e+150): 0
* [misc]none:  (9.695508756689642e-283 -2.011199216274171e-120 7.746810690720674e+45): 0
* [misc]none:  (1.4606254654946099e+218 362286308265.24884 1.1752126413908857e+285): 8
* [misc]none:  (1.5468232939767947e+197 2.11291859010184e+211 7.576403020944845e+67): 8
* [misc]none:  (3.181764726750022e+16 1.754595798831653e-100 8.319479133217638e+72): 0
* [misc]none:  (3.399998773012643e-116 1.1579490907675504e-220 2.5567828938319964e+169): 8
* [misc]none:  (-8.68550733698779e-252 -1.5666808622500324e-22 5.2649767213558694e+275): 8
* [misc]none:  (9.71962479093554e-305 -1.1763255828040947e-101 2.769486795758668e+122): 0
* [misc]none:  (2.37813709873639e+225 1.786191635336755e-93 1.0570792569722166e+44): 0
* [misc]none:  (-4.656550699936543e-232 -2.8049448001062653e-226 2.9244248037553365e+147): 0
* [misc]none:  (-6.2317001653764e-98 3.616148906854995e+163 2.8852458673731734e+165): 8
* [misc]none:  (-1.4972815817152545e-295 9.038793786704759e-20 4.075042434420979e+193): 8
* [misc]none:  (-6.739035334059127e-121 -2.640224185918207e-222 6.988853694800881e+53): 0
* [misc]none:  (8.020946800258914e+259 5.4573047045195024e-18 1.5620131789322965e+234): 8
* [misc]none:  (-4.049074478946118e-77 1.2262625442234699e+279 5.262301821599218e+80): 8
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* [misc]none:  (-1.3636791142875324e-291 -5.939092476866672e-275 5.083256211820847e+147): 0
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* [misc]none:  (4.6587077209109915e-86 2.920861916405843e-219 1.5463781181563689e+100): 0
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* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 8
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* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 6
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* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
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* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
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* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 8
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 2
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* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 2
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 8
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 8
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 8
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 2
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 8
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 8
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 8
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 8
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 8
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 8
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 8
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 8
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 8
* [misc]none:  Picked alt (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 20 in i
* [misc]backup-simplify:  Simplify 20 into 20
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 3)) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (/ 1 (- (pow beta 2) 1.0))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (* beta (* 1 alpha))) (+ (* (- 1.0) (pow (* 1 (* i 1)) 2)) (* (- 1.0) (* 1 (* i alpha))))) into (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 20 in i
* [misc]backup-simplify:  Simplify 20 into 20
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 3)) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (/ 1 (- (pow beta 2) 1.0))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (* beta (* 1 alpha))) (+ (* (- 1.0) (pow (* 1 (* i 1)) 2)) (* (- 1.0) (* 1 (* i alpha))))) into (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow beta 2)) 0) into (* 2 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 (pow beta 2)))) into (- (* 2 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) 1)) (* (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ 1 (pow i 3))) (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 i)) (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ 1 (* beta (pow i 2)))) (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) i))) (* 3 (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 1.0 (/ 1 beta)) into (/ 1.0 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 18 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow beta 3))) into (/ 3 (pow beta 3))
* [misc]backup-simplify:  Simplify (+ 0 (/ 3 (pow beta 3))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ 0 (* 3 (/ 1 (pow beta 3)))) into (* 3 (/ 1 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (/ 1.0 beta) (* 3 (/ 1 (pow beta 3)))) into (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 3 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) into (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ i alpha) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ alpha i) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (+ (* (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ (+ (* 2 alpha) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))))) into (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))))) into (* 1/2 (* (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) (+ (pow i 2) (* alpha i)))) (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ alpha (* 2 i))) into (/ i (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 1) (* 1 0)) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) into (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))))) (* 2 (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) into (* 1/2 (* (sqrt (/ (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) (* beta alpha))) (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta alpha)) into (/ 1 (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) into (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))) into (* (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i))))) into (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)))) into (- (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) (+ (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) (+ (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 2))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 3)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 2)) into beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* 1 (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* 1 (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))) (* (- (* 4 (/ 1 beta))) 0)) into (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))) (* 0 0)) into (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta))))) 0) into (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))) into (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))) into (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta))))) 0) into (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 3) (* 1.0 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 3) (* 1.0 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 -1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 beta))) into 1
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 (pow beta 2)) (+ (* (/ 1 beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 3 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) (* +nan.0 (/ beta (- (pow beta 2) 1.0)))) (* (- (* 3 (/ 1 (pow beta 2)))) 0)) into (- (* +nan.0 (/ 1 (- (pow beta 2) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (* +nan.0 -1.0) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (/ i (pow (+ beta (* 2 i)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ i (+ beta (* 2 i)))))) into (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (pow (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) 2) (+)) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))))) into (- (+ (* 7/2 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)))) (+ (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 7/2 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)))) (+ (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 7/2 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7/2 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 7/2 in i
* [misc]backup-simplify:  Simplify 7/2 into 7/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 5) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 3))) into (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 4)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (pow beta 2)) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 3))) into (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 3)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 2)) into beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 5)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* beta (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))) into (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 9/2 in i
* [misc]backup-simplify:  Simplify 9/2 into 9/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 3))) into (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 3)) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 5)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* beta (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))) into (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 3)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 5/2 in i
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 3)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 2)) into beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 3))) into (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 4)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (pow beta 2)) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 5)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* beta (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))) into (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 3))) into (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 9.0 (* beta (exp (* 3 (+ (log i) (log beta)))))) (+ (* 12.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 15 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 33.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 3) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 33.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 6) (* (exp (* 3 (+ (log i) (log beta)))) beta))))) (+ (* 21.0 (/ beta (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta))))))) (* 15 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 6) (exp (* 3 (+ (log i) (log beta)))))))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (pow (+ beta (* 2 i)) 4)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 26 in i
* [misc]backup-simplify:  Simplify 26 into 26
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 5)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* beta (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))) into (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]taylor:  Taking taylor expansion of (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 5) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 5)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* beta (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (pow beta 11) (* 5.0 (pow beta 3)))) (+ (* 5.0 (pow beta 9)) (+ (* 1.0 beta) (* 10.0 (pow beta 5)))))) into (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 3)) (pow beta 11))) (+ (* 10.0 (pow beta 5)) (+ (* 5.0 (pow beta 9)) (* 1.0 beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)))) (+ (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (pow beta 2)) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (+ (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 19/2 in i
* [misc]backup-simplify:  Simplify 19/2 into 19/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 5) (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 3)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 2)) into beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ beta (- (pow beta 2) 1.0)) (* 2 (sqrt 0))) into (* +nan.0 (/ beta (- (pow beta 2) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ i (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 4)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (pow beta 2)) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 7) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 11/2 in i
* [misc]backup-simplify:  Simplify 11/2 into 11/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (pow beta 2)) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 4 beta)) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (- (pow beta 2) 1.0))) into (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))) (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (/ (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta)))))))) (* 2 (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 3/8 in i
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 4 beta)) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (- (pow beta 2) 1.0))) into (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))) (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (/ (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta)))))))) (* 2 (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 4 beta)) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (- (pow beta 2) 1.0))) into (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))) (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (/ (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta)))))))) (* 2 (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of 25/2 in i
* [misc]backup-simplify:  Simplify 25/2 into 25/2
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 6) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (pow (- (pow beta 2) 1.0) 5))) into (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 20.0 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (+ (* 150.0 (* (pow beta 5) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 23 (* (pow beta 9) (exp (* 3 (+ (log i) (log beta)))))) (* 15.0 (* beta (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 110.0 (* (pow beta 3) (exp (* 3 (+ (log i) (log beta)))))) (+ (* 95.0 (* (pow beta 7) (exp (* 3 (+ (log i) (log beta)))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))))) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta)))))))))) (* 2 (sqrt (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (pow (- (pow beta 2) 1.0) 5) (exp (* 3 (+ (log i) (log beta)))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 10) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (+ (* 110.0 (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 95.0 (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))) (+ (* 23 (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (+ (* 35.0 (/ beta (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))) (* 150.0 (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 10) (exp (* 3 (+ (log i) (log beta))))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 4 beta)) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (- (pow beta 2) 1.0))) into (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))) (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (/ (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta)))))))) (* 2 (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 2)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 2))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 3)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow beta 2)) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) into (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow beta 1)))) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 1 beta)) (* 0 (+ (log i) (log beta)))) into (* 3 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow (* 3 (/ 1 beta)) 1) 1)))) into (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 3 (+ (log i) (log beta)))) (* 4 beta)) (* (* 3 (/ (exp (* 3 (+ (log i) (log beta)))) beta)) (- (pow beta 2) 1.0))) into (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (/ (- (+ (* 4 (* (exp (* 3 (+ (log i) (log beta)))) beta)) (* 3 (* beta (exp (* 3 (+ (log i) (log beta))))))) (* 3.0 (/ (exp (* 3 (+ (log i) (log beta)))) beta))) (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (/ (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta)))))))) (* 2 (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))))) into (* 1/2 (* (sqrt (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (exp (* 3 (+ (log i) (log beta)))) beta)))) (* 7 (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 3 (+ (log i) (log beta))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 2)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of 5/2 in i
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) into (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 2 (sqrt 0))) into (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow beta 2)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 3) (* 1.0 beta))) into (/ 1 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (- (pow beta 3) (* 1.0 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* (/ 1 beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 4 (/ 1 (pow beta 2))))) (* (/ +nan.0 (- (pow beta 3) (* 1.0 beta))) (/ 1 beta))) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (* 3 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta)))))) 0) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 11/2 0) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta) into (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)
* [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) into (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 3)) (+ (* (/ 1 beta) (/ (* 6 (pow beta 2)) (pow beta 3))))) into (- (* 6 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))) (* (- (* 6 (/ 1 (pow beta 2)))) 0)) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* beta (/ (* 4 beta) (pow beta 2))))) into (- 4)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 4)) (* (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) beta)) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))))) 0) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta)))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (- (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (+ (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta)))))) (- (+ (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (- (pow beta 3) (* 1.0 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (- (pow beta 3) (* 1.0 beta))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 3) (* 1.0 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1.0)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1.0)) (* 0 0))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (- (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/8 (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 1/8 in beta
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) (exp (* 3 (+ (log i) (log beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (+ (log i) (log beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (+ (log i) (log beta))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (+ (log i) (log beta)) in beta
* [misc]taylor:  Taking taylor expansion of (log i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]taylor:  Taking taylor expansion of (log beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log beta)) 0) into (log beta)
* [misc]backup-simplify:  Simplify (+ (log i) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 3 (+ (log i) (log beta))) into (* 3 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 3 (+ (log i) (log beta)))) into (exp (* 3 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) (exp (* 3 (+ (log i) (log beta))))) into (* -1.0 (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1.0 (exp (* 3 (+ (log i) (log beta)))))) into (/ -1.0 (exp (* 3 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (sqrt (/ -1.0 (exp (* 3 (+ (log i) (log beta)))))) into (sqrt (/ -1.0 (exp (* 3 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (+ (log i) (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (+ (log i) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (* 0 (exp (* 3 (+ (log i) (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1.0 (exp (* 3 (+ (log i) (log beta))))) (/ 0 (* -1.0 (exp (* 3 (+ (log i) (log beta))))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1.0 (exp (* 3 (+ (log i) (log beta)))))))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 7) (* 3.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 beta) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 0))))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 0) (+ (* 0 (- 1.0)) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 1 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- 1.0)) (+ (* 0 0) (* 0 -1.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* (sqrt (/ -1.0 (exp (* 3 (+ (log i) (log beta)))))) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/8 0) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 -1.0) into +nan.0
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ 0 (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- (- +nan.0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* (/ 1 (pow beta 2)) (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 4 (/ 1 (pow beta 3))))) (* (* +nan.0 (/ beta (- (pow beta 2) 1.0))) (/ 1 (pow beta 2)))) into (- (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (* (/ 1 (pow beta 2)) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 4) (+ (* beta (* 4 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 5 (pow beta 2)) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 3) (* 1.0 beta))) (/ (- (* 5 (pow beta 2)) 1.0) (- (pow beta 3) (* 1.0 beta)))))) into (- (* 1.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))) (* 5 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 1.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))) (* 5 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2)))) (pow (/ +nan.0 (- (pow beta 3) (* 1.0 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 5 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* 1 (/ 4 (pow beta 2))) (* (- (* 4 (/ 1 beta))) (/ (* 4 beta) (pow beta 2))))) into (* 12 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (* 1 (* +nan.0 (+ (* 5 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))) (+ (* (- (* 4 (/ 1 beta))) (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))) (* (* 12 (/ 1 (pow beta 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))) (+ (* 0 (- (* +nan.0 (/ 1 (- (pow beta 3) (* 1.0 beta)))))) (* 0 0))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* (/ 1 beta) (/ (* 4 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) (/ +nan.0 (- (pow beta 3) (* 1.0 beta)))) (* (- (* 4 (/ 1 (pow beta 2)))) 0)) into (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))))))) (- (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))))
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 3)) (+ (* (/ 1 (pow beta 2)) (/ (* 6 (pow beta 2)) (pow beta 3))))) into (- (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 6 (/ 1 (pow beta 3))))) (* (* +nan.0 (/ beta (- (pow beta 2) 1.0))) (/ 1 (pow beta 2)))) into (- (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (+ (* 2 (- (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (* 0 (/ 1 (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 2)) (+ (* beta (/ (* 4 beta) (pow beta 2))))) into (- 4)
* [misc]backup-simplify:  Simplify (+ (* beta (/ +nan.0 (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (* (- 4) 0)) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))))) 0) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))
* [misc]backup-simplify:  Simplify (+ (- (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))) into (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))))))))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))))))) into (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta (- (pow beta 3) (* 1.0 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (- (pow beta 3) (* 1.0 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (- (pow beta 3) (* 1.0 beta))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 3) (* 1.0 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* 0 (- 1.0)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 (- 1.0)) (* 0 0))) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 3) (* 1.0 beta)) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 3) (* 1.0 beta)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 3) (* 1.0 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 3) (* 1.0 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 3) (* 1.0 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 3) (* 1.0 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (log beta))) into (* 2 (+ (log (- 1.0)) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (log beta)))) into (exp (* 2 (+ (log (- 1.0)) (log beta))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 7) (* 3.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 beta) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2))) in beta
* [misc]taylor:  Taking taylor expansion of +nan.0 in beta
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 3) (* 1.0 beta)) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 3) (* 1.0 beta)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 3) (* 1.0 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 3) (* 1.0 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 3) (* 1.0 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 3) (* 1.0 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 beta) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 1.0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (log beta))) into (* 2 (+ (log (- 1.0)) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (log beta)))) into (exp (* 2 (+ (log (- 1.0)) (log beta))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 0))))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 0) (+ (* 0 (- 1.0)) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 1 (- 1.0))) (* 0 (/ 0 (- 1.0))))) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (- 1.0)) (+ (* 0 0) (* 0 -1.0))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 -1.0)) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 -1.0) into +nan.0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) into (/ +nan.0 (exp (* 2 (+ (log (- 1.0)) (log beta)))))
* [misc]backup-simplify:  Simplify (- (/ +nan.0 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) into (- (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))))
* [misc]backup-simplify:  Simplify (+ +nan.0 (- (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (- +nan.0) (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ 1 (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- +nan.0))) (* 1 (* (pow i 2) alpha))) (+ (* (- +nan.0) (* 1 (* i (pow alpha 2)))) (* (- +nan.0) (pow (* 1 (* i 1)) 2)))) into (- (+ (* +nan.0 (pow i 2)) (- (+ (* +nan.0 (/ (* alpha (pow i 2)) (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- (+ (* +nan.0 (* (pow alpha 2) i)) (- (* +nan.0 (* alpha (pow i 2))))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (sqrt 1/4) into 1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 beta) (/ 1 alpha)) 1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 i)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (/ 1 i))) into (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (pow (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2)))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (sqrt 1/4) into 1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 beta) (/ 1 alpha))) -1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 i)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (/ 1 i))) into (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (pow (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2)))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) into (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ i alpha) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ alpha i) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (+ (* (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ (+ (* 2 alpha) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))))) into (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))))) into (* 1/2 (* (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) (+ (pow i 2) (* alpha i)))) (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) into (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (+ i alpha) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ alpha i) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (+ (* (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ (+ (* 2 alpha) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))))) into (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* alpha i)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))))) into (* 1/2 (* (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) (+ (pow i 2) (* alpha i)))) (- (+ (/ i (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) (/ alpha (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (+ (* 2 (/ (* (pow alpha 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))) (* 6 (/ (* alpha (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0) 2))))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (+ alpha (* 2 i))) into (/ (+ alpha i) (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ alpha (* 2 i))) into (/ i (+ alpha (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 1) (* 1 0)) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) into (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))))) (* 2 (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) into (* 1/2 (* (sqrt (/ (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) (* beta alpha))) (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 1) (* 1 0)) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) into (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))))) (* 2 (sqrt (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) into (* 1/2 (* (sqrt (/ (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) (* beta alpha))) (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta alpha)) into 1
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (/ 1 (+ beta alpha)) into (/ 1 (+ beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (* 2 i))) into (/ (+ beta i) (+ beta (* 2 i)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (/ i (+ beta (* 2 i))) into (/ i (+ beta (* 2 i)))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) into (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))) into (* (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (/ (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* (+ beta i) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ beta i) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta beta) (* 1 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (pow beta 2)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (+ (* 1 beta) (* 0 0))) into (* 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 0 (* 2 beta)) (+ (* 1 (pow beta 2)) (* 0 0))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i))))) into (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2)))) into (- (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) (+ (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) (+ (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))) (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (* (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) into (- (+ (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 beta) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 beta) (* 0 0))) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* beta (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta beta) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (pow beta 2)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (+ (* 0 beta) (* 0 0))) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 beta) (+ (* 1 (pow beta 2)) (* 0 0))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 1 beta) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (/ i (pow (+ beta (* 2 i)) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 1 (+ beta (* 2 i)))))) into (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ i (+ beta (* 2 i)))))) into (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (pow (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) 2) (+)) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (- (/ i (pow (+ beta (* 2 i)) 2)) (+ (* 2 (/ (* beta i) (pow (+ beta (* 2 i)) 3))) (* 2 (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))))) (* (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (/ (* (+ beta i) i) (pow (+ beta (* 2 i)) 2))))) into (- (+ (* 7/2 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)))) (+ (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (pow (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) 2) (+)) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (+ (* 7/2 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 1/2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 12 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 9/2 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (/ (pow i 6) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (pow i 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 2) (pow i 3)) (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 4)))) (+ (* 5/2 (* (/ (* (pow i 3) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (/ (* (pow i 2) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 10 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 4)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 6) (pow (+ beta (* 2 i)) 2))) (+ (* 3 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (+ (* 26 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 24 (* (/ (* (pow i 5) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))))))))))))))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 4) (pow i 4)) (pow (+ beta (* 2 i)) 2)))) (+ (* 19/2 (* (/ (* (pow i 5) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 3)))) (+ (* 3 (* (/ (* (pow i 4) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 8 (* (/ (* (pow i 7) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 11/2 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (/ (pow i 8) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (/ (* (pow beta 5) (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 2) (pow i 2)) (pow (+ beta (* 2 i)) 2)))) (+ (* 3/8 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/8 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 25/2 (* (/ (* (pow i 6) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2)))) (+ (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/4 (* (/ (* (pow i 2) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 3 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* beta (pow i 3)) (pow (+ beta (* 2 i)) 2)))) (+ (* 5/2 (* (/ (pow i 4) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* beta (pow i 2)) (pow (+ beta (* 2 i)) 3)))) (+ (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 3) i) (pow (+ beta (* 2 i)) 2))) (* (/ (pow i 3) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))))))))) (+ (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (- (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ i (pow (+ beta (* 2 i)) 2))) (+ (* 1/2 (* (/ (pow i 3) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/2 (* (/ (* i (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (* (/ (* (pow i 2) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) (+ (* 5 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4 (* (/ (* (pow i 3) (pow beta 2)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (* beta i) (pow (+ beta (* 2 i)) 3)))) (+ (* 2 (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow i 2) (pow (+ beta (* 2 i)) 3)))) (+ (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (/ (pow i 5) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))))))) (* (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (* (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))) into (- (+ (* 10 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))))) (+ (* 2 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 10 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))))) (+ (* 2 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 4 beta)) (* (* 4 beta) (pow beta 2))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 8 (pow beta 3)) (* 4.0 beta))) (* beta (* (- (pow beta 2) 1.0) (pow beta 2)))) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 4 beta)) (* (* 4 beta) (pow beta 2))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 8 (pow beta 3)) (* 4.0 beta))) (* beta (* (- (pow beta 2) 1.0) (pow beta 2)))) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 52 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 52 in i
* [misc]backup-simplify:  Simplify 52 into 52
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* beta (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta beta) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (pow beta 2)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (+ (* 0 beta) (* 0 0))) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 beta) (+ (* 1 (pow beta 2)) (* 0 0))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 2)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 8 (* (- (pow beta 2) 1.0) beta))) (* beta (pow (- (pow beta 2) 1.0) 2))) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 4 beta) 0)) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 3)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* i beta) (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 1 beta) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow i 4) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow i 4) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 4)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 11 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 11 in i
* [misc]backup-simplify:  Simplify 11 into 11
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 4 beta) 0)) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 beta) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 beta) (* 0 0))) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 5)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 5)) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 3))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow beta 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 3))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* 0 (- (pow beta 2) 1.0)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 4 beta)) (* beta (- (pow beta 2) 1.0))) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) 4) (+ (* (* 4 beta) (* 4 beta)) (* 4 (pow beta 2)))) into (- (* 24 (pow beta 2)) 4.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 24 (pow beta 2)) 4.0)) (+ (* beta (- (* 8 (pow beta 3)) (* 4.0 beta))) (* 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 5.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- (* 5.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) into (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1/2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 1/2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1/2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (* (- (pow beta 2) 1.0) beta)) 0) into (* 1/2 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 1/2 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ (/ 1/2 (* (- (pow beta 2) 1.0) beta)) (* 1/2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) (/ 1 (* (- (pow beta 2) 1.0) beta))) into (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) into (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) into (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 4 beta) beta) (* 4 0))) into (- (* 5 (pow beta 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (* 5 (pow beta 2)) 1.0)) (+ (* (* 4 beta) (- (pow beta 3) (* 1.0 beta))) (* 4 0))) into (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 5.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- (* 5.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow beta 3)))) into 0
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 4) (+ (* beta (* 4 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 5 (pow beta 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (* 5 (pow beta 2)) 1.0)) (+ (* (* 4 beta) (- (pow beta 3) (* 1.0 beta))) (* 4 0))) into (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 5.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- (* 5.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) 0) into (- (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (- (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (/ beta (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (/ beta (pow (- (pow beta 2) 1.0) 2)) (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (/ beta (pow (- (pow beta 2) 1.0) 2)) (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (/ beta (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (- (+ (* 0.625 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/8 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))) (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/8 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))))) (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (- (* 9/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))))))) into (- (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 4 beta)) (* (* 4 beta) (pow beta 2))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 8 (pow beta 3)) (* 4.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 2 (* (- (pow beta 2) 1.0) beta))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))
* [misc]backup-simplify:  Simplify (+ (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (- (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) into (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (- (+ (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 10 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 10 in beta
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 2 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 2.0)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2.0) 1) 1)))) into (* -2.0 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 0) (+ (* 0 1) (* (* -2.0 (pow -1.0 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 1 1) (+ (* 0 beta) (* 0 0)))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 (* 2 beta)) (+ (* 0 (pow beta 2)) (* 0 0)))) into (* 2 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (* 4 beta)) (* (* 4 beta) (- (pow beta 2) 1.0))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (- (/ (* 2 beta) (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 8 (pow beta 3)) (* 4.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 1) (* 0 0)) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 8 in beta
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (- 1.0) 1)))) 2) into -1.0
* [misc]backup-simplify:  Simplify (+ (* 2 -1.0) (+ (* 0 0) (* 0 (log (- 1.0))))) into (- 2.0)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2.0) 1) 1)))) into (* -2.0 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (* (pow (- 1.0) 2) 0) (+ (* 0 1) (* (* -2.0 (pow -1.0 2)) 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1.0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 -1.0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ i (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ i (pow (+ beta (* 2 i)) 2))) (/ 0 (+ beta (* 2 i)))) (* (/ i (pow (+ beta (* 2 i)) 3)) (/ 1 (+ beta (* 2 i)))))) into (- (/ i (pow (+ beta (* 2 i)) 4)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (* 2 i))) (+ (* (/ (+ beta i) (+ beta (* 2 i))) (/ 0 (+ beta (* 2 i)))) (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ 0 (+ beta (* 2 i)))) (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (/ 1 (+ beta (* 2 i)))))) into (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ i (pow (+ beta (* 2 i)) 4)) (/ beta (pow (+ beta (* 2 i)) 4))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (* 2 i))) (- (/ i (pow (+ beta (* 2 i)) 4)))) (+ (* (- (/ 1 (+ beta (* 2 i))) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ beta (pow (+ beta (* 2 i)) 2)))) (/ i (pow (+ beta (* 2 i)) 3))) (+ (* (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ 1 (pow (+ beta (* 2 i)) 2))) (- (/ i (pow (+ beta (* 2 i)) 2)))) (* (- (/ 1 (pow (+ beta (* 2 i)) 3)) (+ (/ i (pow (+ beta (* 2 i)) 4)) (/ beta (pow (+ beta (* 2 i)) 4)))) (/ i (+ beta (* 2 i))))))) into (- (* 3 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 4 (/ (* beta i) (pow (+ beta (* 2 i)) 5))) (* 4 (/ (pow i 2) (pow (+ beta (* 2 i)) 5)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta (* 2 i)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))) (+ (* 2 (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (* 1/2 (* (- (+ (* 1/2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 3/2 (/ (* (pow i 2) (pow beta 2)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))))))))))))) (+ (* 4 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 12 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (pow beta 2) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* i beta) (* (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 1/4 (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) (+ (* 13 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))))))))))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))))))) (* 2 (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (* 1/2 (* (- (+ (* 6.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 1/8 (/ (pow beta 5) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 252 (/ (* (pow beta 2) (pow i 7)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 244 (/ (* (pow beta 5) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 1/2 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 0.75 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 1.0 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (+ (* 8.0 (/ (pow i 9) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 145/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 1120 (/ (* (pow beta 3) (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 66.0 (/ (* (pow beta 2) (pow i 7)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 53.0 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) (+ (* 1/4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 3/2 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 0.25 (/ (* (pow beta 4) i) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 6) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 0.5 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 56.0 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 25.0 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) (+ (* 36.0 (/ (* beta (pow i 8)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 128 (/ (pow i 9) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1.5 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 3.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (+ (* 120 (/ (* beta (pow i 8)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 5/2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4)))) (+ (* 18.0 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) (+ (* 288 (/ (* (pow beta 3) (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 2.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (+ (* 576 (/ (* beta (pow i 8)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 5/8 (/ (* (pow beta 4) i) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 14 (/ (* (pow beta 6) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 63.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 1088 (/ (* (pow beta 2) (pow i 7)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 17/2 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 6.25 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 3.0 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 21/8 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 680 (/ (* (pow beta 4) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 5.25 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 19/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (/ (pow beta 5) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 89/2 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 28 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) (+ (* 31.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 2 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 34 (/ 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(* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 100.0 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (+ (pow i 2) (* beta i))))) (+ (* 18 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (+ (* 9/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 5 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 377 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) (+ (* 20 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 284 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) (+ (* 37.5 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 0.125 (/ (* (pow beta 2) i) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1.0 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 0.375 (/ (* beta (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) (+ (* 172 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta 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* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (* 3 (/ i (pow (+ beta (* 2 i)) 4))) (+ (* 4 (/ (* beta i) (pow (+ beta (* 2 i)) 5))) (* 4 (/ (pow i 2) (pow (+ beta (* 2 i)) 5)))))) (+ (* (* 1/2 (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (sqrt (/ (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (- (+ (* 3 (/ (pow i 2) (pow (+ beta (* 2 i)) 4))) (* 3 (/ (* beta i) (pow (+ beta (* 2 i)) 4)))) (* 2 (/ i (pow (+ beta (* 2 i)) 3))))) (+ (* (* 1/2 (* (- (+ (* 1/2 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(* (pow i 5) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 6 (* (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (pow i 5) (pow (+ beta (* 2 i)) 4)))) (+ (* 52 (* (/ (* (pow i 4) (pow beta 2)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 0.25 (* (/ (* (pow i 2) (pow beta 3)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 4.25 (* (/ (* (pow i 4) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (* 178 (* (/ (* (pow i 8) beta) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta (* 2 i)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (+ (* (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ 0 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (/ beta (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) (/ i (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 6 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (* (- (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 32 (/ (* beta (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 7 (/ (* beta i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5 (/ (pow i 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (* 2 (/ (pow beta 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))) (/ (+ (* 2 beta) (* 4 i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) into (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (/ i (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 24 (/ (pow i 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 44 (/ (* beta (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (pow beta 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (* 24 (/ (* (pow beta 2) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) (+ (* 144 (/ (* (pow beta 2) (pow i 3)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (/ beta (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) (+ (* 56 (/ (* (pow beta 3) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 8 (/ (* (pow beta 4) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 64 (/ (pow i 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4))) (+ (* 160 (/ (* beta (pow i 4)) (pow (- (+ (* 4 (pow i 2)) 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beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (/ (* (pow i 3) beta) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) (+ (* 5/2 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 4 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) (+ (* 16 (/ (pow i 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 4 (/ (* (pow beta 3) i) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 20 (/ (* (pow beta 2) (pow i 2)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) (+ (* 1/2 (/ (* i (pow beta 3)) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 2 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 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* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (+ (pow i 2) (* beta i)) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 5) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (/ (* (pow beta 6) i) (pow (+ beta (* 2 i)) 2)))) (+ (* 3 (* (/ (pow i 7) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 73/4 (* (/ (* (pow i 3) (pow beta 4)) (pow (+ beta (* 2 i)) 2)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) (+ (* 3/4 (* (/ (* (pow i 3) beta) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) (+ (* 1/4 (* (/ (* i (pow beta 3)) (pow (+ beta (* 2 i)) 3)) (sqrt (/ 1 (* (pow (+ (pow i 2) (* beta i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 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* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 96.0 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 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(* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta 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2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 96.0 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 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4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 96.0 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 96.0 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 96.0 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 96.0 in i
* [misc]backup-simplify:  Simplify 96.0 into 96.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 6 (pow beta 2))) (* (* 4 beta) (pow beta 3))) into (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))) (* beta (* (- (pow beta 2) 1.0) (pow beta 3)))) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ beta (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 81/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 81/8 in i
* [misc]backup-simplify:  Simplify 81/8 into 81/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/2 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3/2 in i
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 924 (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 924 in i
* [misc]backup-simplify:  Simplify 924 into 924
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 5) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18.0 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 18.0 in i
* [misc]backup-simplify:  Simplify 18.0 into 18.0
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ 1 (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) beta) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 44.0 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 44.0 in i
* [misc]backup-simplify:  Simplify 44.0 into 44.0
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 10)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 10) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 109.0 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 109.0 in i
* [misc]backup-simplify:  Simplify 109.0 into 109.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 2) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 129/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 129/2 in i
* [misc]backup-simplify:  Simplify 129/2 into 129/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 42.0 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 42.0 in i
* [misc]backup-simplify:  Simplify 42.0 into 42.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ 1 (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 24 (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 24 in i
* [misc]backup-simplify:  Simplify 24 into 24
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* i (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 beta) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (+ (* 1 beta) (* 0 0))) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 37/2 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 37/2 in i
* [misc]backup-simplify:  Simplify 37/2 into 37/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1209/2 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1209/2 in i
* [misc]backup-simplify:  Simplify 1209/2 into 1209/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/4 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5/4 in i
* [misc]backup-simplify:  Simplify 5/4 into 5/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 28 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 28 in i
* [misc]backup-simplify:  Simplify 28 into 28
* [misc]taylor:  Taking taylor expansion of (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 11) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1800 (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1800 in i
* [misc]backup-simplify:  Simplify 1800 into 1800
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 4) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 8) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 6 (pow beta 2))) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 3))) into (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ 1 (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 35/2 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 35/2 in i
* [misc]backup-simplify:  Simplify 35/2 into 35/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 51 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 51 in i
* [misc]backup-simplify:  Simplify 51 into 51
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 9)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 19 (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 19 in i
* [misc]backup-simplify:  Simplify 19 into 19
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 6 (pow beta 2))) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 3))) into (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ (pow beta 3) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 87/8 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 87/8 in i
* [misc]backup-simplify:  Simplify 87/8 into 87/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 11) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 11) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/2 (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3/2 in i
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (pow beta 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 2))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 31/8 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 31/8 in i
* [misc]backup-simplify:  Simplify 31/8 into 31/8
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1059/2 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1059/2 in i
* [misc]backup-simplify:  Simplify 1059/2 into 1059/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 291 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 291 in i
* [misc]backup-simplify:  Simplify 291 into 291
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 6)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 6)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 6))) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (pow beta 3) (* 1.0 beta))) (* (* 6 (pow beta 2)) 0)) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 43/8 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 43/8 in i
* [misc]backup-simplify:  Simplify 43/8 into 43/8
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 100 (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 100 in i
* [misc]backup-simplify:  Simplify 100 into 100
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.0 (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 8.0 in i
* [misc]backup-simplify:  Simplify 8.0 into 8.0
* [misc]taylor:  Taking taylor expansion of (/ (pow i 11) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 11) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 6 (pow beta 2))) (* (* 4 beta) (pow beta 3))) into (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))) (* beta (* (- (pow beta 2) 1.0) (pow beta 3)))) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 10 in i
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12.0 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 12.0 in i
* [misc]backup-simplify:  Simplify 12.0 into 12.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/2 (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 3/2 in i
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 8) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 8) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 8 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 8 (log beta)) into (* 8 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 8 (log beta))) into (pow beta 8)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 8) 1) into (pow beta 8)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 8) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25 (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 25 in i
* [misc]backup-simplify:  Simplify 25 into 25
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 6 (pow beta 2))) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 3))) into (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ (pow beta 2) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/16 in i
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 6) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 6) 1) (* 0 0)) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) beta) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10.0 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 10.0 in i
* [misc]backup-simplify:  Simplify 10.0 into 10.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 85/2 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 85/2 in i
* [misc]backup-simplify:  Simplify 85/2 into 85/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 71.0 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 71.0 in i
* [misc]backup-simplify:  Simplify 71.0 into 71.0
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ beta (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1664 (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1664 in i
* [misc]backup-simplify:  Simplify 1664 into 1664
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 9)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 9)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 2) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.75 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.75 in i
* [misc]backup-simplify:  Simplify 0.75 into 0.75
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/4 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 3/4 in i
* [misc]backup-simplify:  Simplify 3/4 into 3/4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 102.0 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 102.0 in i
* [misc]backup-simplify:  Simplify 102.0 into 102.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 9)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))) into (/ (pow beta 2) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6))))
* [misc]taylor:  Taking taylor expansion of (+ (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 11 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 11 in i
* [misc]backup-simplify:  Simplify 11 into 11
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ 1 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 22 (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 22 in i
* [misc]backup-simplify:  Simplify 22 into 22
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 10)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 10)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 10) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 8) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 8) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 8 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 8 (log beta)) into (* 8 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 8 (log beta))) into (pow beta 8)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 8) 1) into (pow beta 8)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 8) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 8) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 147/2 (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 147/2 in i
* [misc]backup-simplify:  Simplify 147/2 into 147/2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ beta (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25/4 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 25/4 in i
* [misc]backup-simplify:  Simplify 25/4 into 25/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 52 (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 52 in i
* [misc]backup-simplify:  Simplify 52 into 52
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 7) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 21 (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 21 in i
* [misc]backup-simplify:  Simplify 21 into 21
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 6 (pow beta 2))) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 3))) into (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ beta (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 111 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 111 in i
* [misc]backup-simplify:  Simplify 111 into 111
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/4 (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5/4 in i
* [misc]backup-simplify:  Simplify 5/4 into 5/4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 166 (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 166 in i
* [misc]backup-simplify:  Simplify 166 into 166
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 10)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 10) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 423 (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 423 in i
* [misc]backup-simplify:  Simplify 423 into 423
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 9)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10.5 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 10.5 in i
* [misc]backup-simplify:  Simplify 10.5 into 10.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (pow beta 3) (* 1.0 beta))) (* (* 4 beta) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.5 (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1.5 in i
* [misc]backup-simplify:  Simplify 1.5 into 1.5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 292 (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 292 in i
* [misc]backup-simplify:  Simplify 292 into 292
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 6) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))) into (/ beta (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 6) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 6) 1) (* 0 0)) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/16 in i
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 6)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 6)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 6))) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 97/2 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 97/2 in i
* [misc]backup-simplify:  Simplify 97/2 into 97/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 4.5 in i
* [misc]backup-simplify:  Simplify 4.5 into 4.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 98 (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 98 in i
* [misc]backup-simplify:  Simplify 98 into 98
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 129.0 (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 129.0 in i
* [misc]backup-simplify:  Simplify 129.0 into 129.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 88 (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 88 in i
* [misc]backup-simplify:  Simplify 88 into 88
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 59 (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 59 in i
* [misc]backup-simplify:  Simplify 59 into 59
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 2) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 11/4 (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 11/4 in i
* [misc]backup-simplify:  Simplify 11/4 into 11/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (pow beta 3) (* 1.0 beta))) (* (* 6 (pow beta 2)) 0)) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ 1 (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 81.0 (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 81.0 in i
* [misc]backup-simplify:  Simplify 81.0 into 81.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 3) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 17 (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 17 in i
* [misc]backup-simplify:  Simplify 17 into 17
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ 1 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 83/2 (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 83/2 in i
* [misc]backup-simplify:  Simplify 83/2 into 83/2
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ beta (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 128 (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 128 in i
* [misc]backup-simplify:  Simplify 128 into 128
* [misc]taylor:  Taking taylor expansion of (/ (pow i 11) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 11) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ 1 (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.75 (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 6.75 in i
* [misc]backup-simplify:  Simplify 6.75 into 6.75
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 21/2 (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 21/2 in i
* [misc]backup-simplify:  Simplify 21/2 into 21/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))) into (/ (pow beta 3) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2208 (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 2208 in i
* [misc]backup-simplify:  Simplify 2208 into 2208
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 3) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 47/8 (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 47/8 in i
* [misc]backup-simplify:  Simplify 47/8 into 47/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 6 (pow beta 2))) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 3))) into (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 18 (pow beta 8)) (* 30.0 (pow beta 4))) (+ (* 6.0 (pow beta 2)) (* 42.0 (pow beta 6))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ (pow beta 4) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 257/2 (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 257/2 in i
* [misc]backup-simplify:  Simplify 257/2 into 257/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 2) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 40 (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 40 in i
* [misc]backup-simplify:  Simplify 40 into 40
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 29.0 (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 29.0 in i
* [misc]backup-simplify:  Simplify 29.0 into 29.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 4) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (* 704 (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 704 in i
* [misc]backup-simplify:  Simplify 704 into 704
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 10)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 10)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 10) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ beta (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 208 (/ (* beta (pow i 12)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 5.5 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 252.0 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 208 (/ (* beta (pow i 12)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 208 in i
* [misc]backup-simplify:  Simplify 208 into 208
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 12)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 12)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 12) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 9 (/ (* beta (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 5.5 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 252.0 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 48 in i
* [misc]backup-simplify:  Simplify 48 into 48
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 9 (/ (* beta (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 5.5 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 252.0 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (/ (* beta (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 5.5 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 252.0 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5.5 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5.5 in i
* [misc]backup-simplify:  Simplify 5.5 into 5.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 252.0 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 252.0 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 252.0 in i
* [misc]backup-simplify:  Simplify 252.0 into 252.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 3) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* i (* beta (+ (pow i 2) (* beta i)))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* i (* beta (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta beta) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (pow beta 2)) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 1) (+ (* 0 beta) (* 0 0))) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 beta) (+ (* 1 (pow beta 2)) (* 0 0))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 64 (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 64 in i
* [misc]backup-simplify:  Simplify 64 into 64
* [misc]taylor:  Taking taylor expansion of (/ (pow i 7) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 968 (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 968 in i
* [misc]backup-simplify:  Simplify 968 into 968
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 10)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 10)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 10) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 39.0 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 39.0 in i
* [misc]backup-simplify:  Simplify 39.0 into 39.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 47 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 47 in i
* [misc]backup-simplify:  Simplify 47 into 47
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 6) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 15 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 15 in i
* [misc]backup-simplify:  Simplify 15 into 15
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 15 (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 15 in i
* [misc]backup-simplify:  Simplify 15 into 15
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) beta) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) beta) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 beta) into beta
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 4 beta)) (* (* 4 beta) (pow beta 2))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 8 (pow beta 3)) (* 4.0 beta))) (* beta (* (- (pow beta 2) 1.0) (pow beta 2)))) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ 1 (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.5 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 2.5 in i
* [misc]backup-simplify:  Simplify 2.5 into 2.5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ 1 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (pow i 13) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 13) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.0625 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.0625 in i
* [misc]backup-simplify:  Simplify 0.0625 into 0.0625
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 6 (pow beta 2))) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 3))) into (- (+ (* 6.0 (pow beta 2)) (* 14 (pow beta 6))) (* 20.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 6.0 (pow beta 2)) (* 14 (pow beta 6))) (* 20.0 (pow beta 4)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))) into (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))) into (/ (pow beta 3) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6))))
* [misc]taylor:  Taking taylor expansion of (+ (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 88 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 88 in i
* [misc]backup-simplify:  Simplify 88 into 88
* [misc]taylor:  Taking taylor expansion of (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ 1 (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ 1 (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 425/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 425/4 in i
* [misc]backup-simplify:  Simplify 425/4 into 425/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (+ (pow i 2) (* beta i))) (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 5) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 1 beta) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 3/4 in i
* [misc]backup-simplify:  Simplify 3/4 into 3/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 6) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 16 in i
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 7)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ beta (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 132.0 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 132.0 in i
* [misc]backup-simplify:  Simplify 132.0 into 132.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 4) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6.0 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 6.0 in i
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 183/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 183/2 in i
* [misc]backup-simplify:  Simplify 183/2 into 183/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/8 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 3/8 in i
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))) into (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 61.5 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 61.5 in i
* [misc]backup-simplify:  Simplify 61.5 into 61.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ (pow beta 6) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 66 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 66 in i
* [misc]backup-simplify:  Simplify 66 into 66
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ (pow beta 4) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 6 (pow beta 2))) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 3))) into (- (+ (* 6.0 (pow beta 2)) (* 14 (pow beta 6))) (* 20.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 6.0 (pow beta 2)) (* 14 (pow beta 6))) (* 20.0 (pow beta 4)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))) into (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))) into (/ beta (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6))))
* [misc]taylor:  Taking taylor expansion of (+ (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9/4 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 9/4 in i
* [misc]backup-simplify:  Simplify 9/4 into 9/4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 4 beta) 0)) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 15/4 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 15/4 in i
* [misc]backup-simplify:  Simplify 15/4 into 15/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 4 beta)) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 2))) into (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ (pow beta 2) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 8) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ 1 (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 75/2 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 75/2 in i
* [misc]backup-simplify:  Simplify 75/2 into 75/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 264.0 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 264.0 in i
* [misc]backup-simplify:  Simplify 264.0 into 264.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 2) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 6 (pow beta 2))) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 3))) into (- (+ (* 6.0 (pow beta 2)) (* 14 (pow beta 6))) (* 20.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 6.0 (pow beta 2)) (* 14 (pow beta 6))) (* 20.0 (pow beta 4)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)))) into (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6)))) into (/ (pow beta 2) (- (+ (pow beta 8) (* 1.0 (pow beta 4))) (* 2.0 (pow beta 6))))
* [misc]taylor:  Taking taylor expansion of (+ (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 36.0 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 36.0 in i
* [misc]backup-simplify:  Simplify 36.0 into 36.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ (pow beta 5) (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (- (pow beta 2) 1.0) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 33 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 33 in i
* [misc]backup-simplify:  Simplify 33 into 33
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/16 in i
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))) into (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 200 (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 200 in i
* [misc]backup-simplify:  Simplify 200 into 200
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 4))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 39/2 (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 39/2 in i
* [misc]backup-simplify:  Simplify 39/2 into 39/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 9) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 9) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 9 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 9 (log beta)) into (* 9 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 9 (log beta))) into (pow beta 9)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 9) 1) into (pow beta 9)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))) into (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (- (pow beta 2) 1.0) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.5 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1.5 in i
* [misc]backup-simplify:  Simplify 1.5 into 1.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 304 (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 304 in i
* [misc]backup-simplify:  Simplify 304 into 304
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 7)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 4 beta)) (* (* 4 beta) (pow beta 2))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 8 (pow beta 3)) (* 4.0 beta))) (* beta (* (- (pow beta 2) 1.0) (pow beta 2)))) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 2)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 32 in i
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (pow i 6) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))) into (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 13/4 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 13/4 in i
* [misc]backup-simplify:  Simplify 13/4 into 13/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 4 beta) 0)) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 519/4 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 519/4 in i
* [misc]backup-simplify:  Simplify 519/4 into 519/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1002 (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1002 in i
* [misc]backup-simplify:  Simplify 1002 into 1002
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 9)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 9)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 615 (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 615 in i
* [misc]backup-simplify:  Simplify 615 into 615
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 5)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 4) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 19 (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 19 in i
* [misc]backup-simplify:  Simplify 19 into 19
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 5)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ (pow beta 3) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 104 (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 104 in i
* [misc]backup-simplify:  Simplify 104 into 104
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 4)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 4) (pow beta 9)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) (pow beta 9)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 9 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 9 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 9 in i
* [misc]backup-simplify:  Simplify 9 into 9
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 9 (log beta)) into (* 9 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 9 (log beta))) into (pow beta 9)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 9)) into (pow beta 9)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 9) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 10.5 (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 10.5 in i
* [misc]backup-simplify:  Simplify 10.5 into 10.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 2) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow i 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.125 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.125 in i
* [misc]backup-simplify:  Simplify 0.125 into 0.125
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 231 (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 231 in i
* [misc]backup-simplify:  Simplify 231 into 231
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 144.0 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 144.0 in i
* [misc]backup-simplify:  Simplify 144.0 into 144.0
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ beta (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (pow i 9) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 870 (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 870 in i
* [misc]backup-simplify:  Simplify 870 into 870
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 7)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 2) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 4)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ (pow beta 4) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 5) (pow beta 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 5) (pow beta 8)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 8 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 8 (log beta)) into (* 8 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 8 (log beta))) into (pow beta 8)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 8)) into (pow beta 8)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 5)) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 8) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 32.0 (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 32.0 in i
* [misc]backup-simplify:  Simplify 32.0 into 32.0
* [misc]taylor:  Taking taylor expansion of (/ (pow i 9) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 5) (* 4 beta)) (* (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow beta 2))) into (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 160.0 (pow beta 7)) (+ (* 40.0 (pow beta 3)) (* 24 (pow beta 11)))) (+ (* 100.0 (pow beta 9)) (+ (* 4.0 beta) (* 120.0 (pow beta 5)))))) (* beta (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)))) into (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (* 5.0 (pow beta 5)) (+ (* 10.0 (pow beta 9)) (pow beta 13))) (+ (* 10.0 (pow beta 7)) (+ (* 5.0 (pow beta 11)) (* 1.0 (pow beta 3)))))) into (/ 1 (- (+ (* 10.0 (pow beta 9)) (+ (pow beta 13) (* 5.0 (pow beta 5)))) (+ (* 5.0 (pow beta 11)) (+ (* 10.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 18 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 18 in i
* [misc]backup-simplify:  Simplify 18 into 18
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) i) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 4 beta)) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 2))) into (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ (pow beta 4) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7/4 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 7/4 in i
* [misc]backup-simplify:  Simplify 7/4 into 7/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 4 beta)) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 2))) into (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ beta (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 132 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 132 in i
* [misc]backup-simplify:  Simplify 132 into 132
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ (pow beta 2) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 96 (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 96 in i
* [misc]backup-simplify:  Simplify 96 into 96
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 8.5 (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 8.5 in i
* [misc]backup-simplify:  Simplify 8.5 into 8.5
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) (* 4 beta)) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow beta 2))) into (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 16 (pow beta 7)) (* 24.0 (pow beta 3))) (+ (* 4.0 beta) (* 36.0 (pow beta 5))))) (* beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ beta (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 72 (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 72 in i
* [misc]backup-simplify:  Simplify 72 into 72
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 8)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ beta (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5/16 in i
* [misc]backup-simplify:  Simplify 5/16 into 5/16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 4) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 6 (pow beta 2))) (* (* 4 beta) (pow beta 3))) into (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))) (* beta (* (- (pow beta 2) 1.0) (pow beta 3)))) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ 1 (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 3)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (pow beta 3) (* 1.0 beta))) (* (* 6 (pow beta 2)) 0)) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ beta (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 127/4 (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 127/4 in i
* [misc]backup-simplify:  Simplify 127/4 into 127/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 7)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 7)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 7) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 681 (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 681 in i
* [misc]backup-simplify:  Simplify 681 into 681
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 64 (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 64 in i
* [misc]backup-simplify:  Simplify 64 into 64
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 4) (pow i 3)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.75 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.75 in i
* [misc]backup-simplify:  Simplify 0.75 into 0.75
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/4 (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 3/4 in i
* [misc]backup-simplify:  Simplify 3/4 into 3/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 428 (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 428 in i
* [misc]backup-simplify:  Simplify 428 into 428
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 8)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ beta (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 592 (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 592 in i
* [misc]backup-simplify:  Simplify 592 into 592
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 11)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 11)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 11) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 66.0 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 66.0 in i
* [misc]backup-simplify:  Simplify 66.0 into 66.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/8 in i
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 4 beta)) (* (* 4 beta) (pow beta 2))) into (- (* 8 (pow beta 3)) (* 4.0 beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 8 (pow beta 3)) (* 4.0 beta))) (* beta (* (- (pow beta 2) 1.0) (pow beta 2)))) into (- (pow beta 5) (* 1.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 3)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 8) (pow i 5)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 8) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 8 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 8 (log beta)) into (* 8 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 8 (log beta))) into (pow beta 8)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 8) 1) into (pow beta 8)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 8) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 30.0 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 30.0 in i
* [misc]backup-simplify:  Simplify 30.0 into 30.0
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 33/4 (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 33/4 in i
* [misc]backup-simplify:  Simplify 33/4 into 33/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 6) (pow i 3)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 6) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 6 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 6 (log beta)) into (* 6 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 6 (log beta))) into (pow beta 6)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 6) 1) into (pow beta 6)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/16 in i
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* beta i) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.0625 (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.0625 in i
* [misc]backup-simplify:  Simplify 0.0625 into 0.0625
* [misc]taylor:  Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* i (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 0 (pow beta 4)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow beta 4))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 957 (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 957 in i
* [misc]backup-simplify:  Simplify 957 into 957
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 6)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) (* 4 beta)) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) (pow beta 2))) into (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 20 (pow beta 9)) (+ (* 4.0 beta) (* 72.0 (pow beta 5)))) (+ (* 64.0 (pow beta 7)) (* 32.0 (pow beta 3))))) (* beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)))) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 9)) (* 4.0 (pow beta 5))))) into (/ (pow beta 3) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 86 (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 86 in i
* [misc]backup-simplify:  Simplify 86 into 86
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 7) (pow i 6)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 7) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 7 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 7 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 7 in i
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 7 (log beta)) into (* 7 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 7 (log beta))) into (pow beta 7)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 7) 1) into (pow beta 7)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 5) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 7) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 8) (pow i 5)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 8) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 8 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 8 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 8 in i
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 8 (log beta)) into (* 8 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 8 (log beta))) into (pow beta 8)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 8) 1) into (pow beta 8)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 8) (* (pow (- (pow beta 2) 1.0) 5) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 6) (* (pow (- (pow beta 2) 1.0) 5) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7/16 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 7/16 in i
* [misc]backup-simplify:  Simplify 7/16 into 7/16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))) into (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))) into (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) i) (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0 (* (- (pow beta 2) 1.0) (pow beta 3))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 6 (pow beta 2))) (* (* 4 beta) (pow beta 3))) into (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))) (* beta (* (- (pow beta 2) 1.0) (pow beta 3)))) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 224 (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 224 in i
* [misc]backup-simplify:  Simplify 224 into 224
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 6)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 126 (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 126 in i
* [misc]backup-simplify:  Simplify 126 into 126
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 6)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 16 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 16 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 4) beta) (* (* 16 (* (pow (- (pow beta 2) 1.0) 3) beta)) 0)) into (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 9) (+ (* 1.0 beta) (* 6.0 (pow beta 5)))) (+ (* 4.0 (pow beta 7)) (* 4.0 (pow beta 3))))) (* (* 4 beta) 0)) into (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) into (/ (pow beta 3) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (+ (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 27/4 (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 27/4 in i
* [misc]backup-simplify:  Simplify 27/4 into 27/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 3)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 4 beta) 0)) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ (pow beta 2) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 45 (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 45 in i
* [misc]backup-simplify:  Simplify 45 into 45
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 8)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 8)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 8) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* beta (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (pow i 9) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 9) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (pow (+ (pow i 2) (* beta i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta))))) into (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (exp (* 2 (+ (log i) (log beta)))))) into (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 9/4 (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 9/4 in i
* [misc]backup-simplify:  Simplify 9/4 into 9/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 4 beta)) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 2))) into (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 2)) (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) beta) (* (* 4 beta) 0)) into (- (pow beta 3) (* 1.0 beta))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (pow beta 3) (* 1.0 beta))) (* (* 6 (pow beta 2)) 0)) into (- (pow beta 6) (* 1.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 4)) (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 4)) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (pow (- (pow beta 2) 1.0) 3)) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* beta (pow (- (pow beta 2) 1.0) 3))) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 4 beta) 0)) into (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))
* [misc]backup-simplify:  Simplify (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) into (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) (pow i 2)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 1) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ beta (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 27/4 (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 27/4 in i
* [misc]backup-simplify:  Simplify 27/4 into 27/4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow i 4)) (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) beta) (* (* 8 (* (- (pow beta 2) 1.0) beta)) 0)) into (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 1.0 beta) (pow beta 5)) (* 2.0 (pow beta 3)))) (* (* 4 beta) 0)) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ beta (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ beta (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (pow i 5) (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))
* [misc]backup-simplify:  Simplify (* 0 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 2 beta)) (* 0 (log beta))) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 1) 1)))) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 8 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 8 (* (- (pow beta 2) 1.0) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) (* 4 beta)) (* (* 8 (* (- (pow beta 2) 1.0) beta)) (pow beta 2))) into (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))) (* beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) into (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))
* [misc]backup-simplify:  Simplify (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) into (/ 1 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))
* [misc]taylor:  Taking taylor expansion of (+ (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 25 (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))))) in i
* [misc]taylor:  Taking taylor expansion of 25 in i
* [misc]backup-simplify:  Simplify 25 into 25
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 6)) (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 6)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 6) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 3) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 3) 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) beta) (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) 0)) into (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))
* [misc]backup-simplify:  Simplify (+ (* 2 1) (* 0 0)) into 2
* [misc]backup-simplify:  Simplify (+ 0 2) into 2
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow beta 1)))) 1) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ 2 beta)) (* 0 (log beta))) into (* 6 (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 1) 1)))) into (* 6 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* (* 6 (pow beta 2)) 0)) into (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4))))) into (/ (pow beta 2) (- (+ (pow beta 10) (* 3.0 (pow beta 6))) (+ (* 3.0 (pow beta 8)) (* 1.0 (pow beta 4)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 304 (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 304 in i
* [misc]backup-simplify:  Simplify 304 into 304
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow i 5)) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 5) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 4))
* [misc]taylor:  Taking taylor expansion of (+ (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (pow i 2) (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) (pow (+ beta (* 2 i)) 3)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (* (- (pow beta 2) 1.0) (pow beta 3)) into (* (- (pow beta 2) 1.0) (pow beta 3))
* [misc]backup-simplify:  Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3)))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (* (pow (+ beta (* 2 i)) 4) (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* 1 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (* 12.0 (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))))) in i
* [misc]taylor:  Taking taylor expansion of 12.0 in i
* [misc]backup-simplify:  Simplify 12.0 into 12.0
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 5) (pow i 4)) (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 5) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 5 (log beta)) into (* 5 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 5 (log beta))) into (pow beta 5)
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (* (pow (+ (pow i 2) (* beta i)) 2) (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2))) in i
* [misc]taylor:  Taking taylor expansion of (pow (+ (pow i 2) (* beta i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ (pow i 2) (* beta i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ (pow i 2) (* beta i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ (pow i 2) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log i)) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]taylor:  Taking taylor expansion of (* (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) (pow (+ beta (* 2 i)) 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (log (- (pow beta 2) 1.0))) into (* 4 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 4)
* [misc]taylor:  Taking taylor expansion of (pow (+ beta (* 2 i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (+ beta (* 2 i))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log (+ beta (* 2 i)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (+ beta (* 2 i))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (* 2 i)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 2 i) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (* (pow beta 5) 1) into (pow beta 5)
* [misc]backup-simplify:  Simplify (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (+ (log i) (log beta)))) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (* (pow beta 2) (exp (* 2 (+ (log i) (log beta))))))) into (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (exp (* 2 (+ (log i) (log beta))))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 2 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 3 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) into (* 3 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 3/2 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 2 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 3/2 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow beta 6)))) into 0
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 beta)) 2)) (pow (- (pow beta 2) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (- (pow beta 2) 1.0) 1)))) 2) into (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))) (+ (* 0 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0))))) into (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 2) 2)) (* (/ (pow (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) 1) 1)))) into (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0)))))) (+ (* beta (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 1 (pow (- (pow beta 2) 1.0) 3)))) into (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))) (+ (* (* 4 beta) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 4 0))) into (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (+ (* (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (/ (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6)))) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) (* 0 (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 4 beta) beta) (* 4 0))) into (- (* 5 (pow beta 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 6 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 6 (/ 1 (pow beta 2)))) 1) 1)))) into (* 12 beta)
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) (- (* 5 (pow beta 2)) 1.0)) (+ (* (* 6 (pow beta 2)) (- (pow beta 3) (* 1.0 beta))) (* (* 12 beta) 0))) into (- (* 11 (pow beta 5)) (* 7.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 6) (* 1.0 (pow beta 4)))) (+ (* (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) (/ (- (* 11 (pow beta 5)) (* 7.0 (pow beta 3))) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (- (* 7.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- (* 7.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))))) into (- (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) into (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))
* [misc]backup-simplify:  Simplify (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) into (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) into (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 4 beta) beta) (* 4 0))) into (- (* 5 (pow beta 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (* 5 (pow beta 2)) 1.0)) (+ (* (* 4 beta) (- (pow beta 3) (* 1.0 beta))) (* 4 0))) into (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 5.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- (* 5.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) into (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 6 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 6) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 beta)) 2)) (pow (- (pow beta 2) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (- (pow beta 2) 1.0) 1)))) 2) into (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))) (+ (* 0 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0))))) into (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 2) 2)) (* (/ (pow (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) 1) 1)))) into (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) 1) (+ (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) beta) (* (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0))))) 0))) into (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))) (+ (* (* 4 beta) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 4 0))) into (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (+ (* (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (/ (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6)))) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) (* 0 (/ (pow beta 6) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) into (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) 0) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (+ (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))) into (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))) into (- (+ (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) into (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) into (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) into (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) into (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ (- (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/16 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (- (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))))))))))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) (- (+ (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))))))) (+ (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))))))) (+ (* 17/2 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (/ 3/2 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (/ 3/2 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 21/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (/ 2 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) into (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))
* [misc]backup-simplify:  Simplify (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) into (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 3 (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow beta 4)))) into 0
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 beta)) 2)) (pow (- (pow beta 2) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (- (pow beta 2) 1.0) 1)))) 2) into (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))) (+ (* 0 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0))))) into (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 2) 2)) (* (/ (pow (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) 1) 1)))) into (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0)))))) (+ (* beta (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 1 (pow (- (pow beta 2) 1.0) 3)))) into (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))) (+ (* (* 4 beta) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 4 0))) into (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (+ (* (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (/ (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6)))) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))) into (- (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) (* 0 (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (- (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) into (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))
* [misc]backup-simplify:  Simplify (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) into (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (* 13/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) into (* 13/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 beta)) 2)) (pow (- (pow beta 2) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (- (pow beta 2) 1.0) 1)))) 2) into (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))) (+ (* 0 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0))))) into (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 2) 2)) (* (/ (pow (- (* 12 (/ 1 (- (pow beta 2) 1.0))) (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) 1) 1)))) into (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 3) 1) (+ (* (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) beta) (* (* (pow (- (pow beta 2) 1.0) 3) (+ (* 48 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (- (pow beta 2) 1.0))))) 0))) into (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) (- (+ (* 15.0 (pow beta 2)) (* 13 (pow beta 6))) (+ 1.0 (* 27.0 (pow beta 4))))) (+ (* (* 4 beta) (- (+ (pow beta 7) (* 3.0 (pow beta 3))) (+ (* 1.0 beta) (* 3.0 (pow beta 5))))) (* 4 0))) into (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (+ (* (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) (/ (- (+ (* 17 (pow beta 8)) (* 27.0 (pow beta 4))) (+ (* 5.0 (pow beta 2)) (* 39.0 (pow beta 6)))) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))) into (- (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 0.5 (- (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 17 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))) (* 0 (/ (pow beta 4) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) into (- (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 4 beta)) 2)) (pow (- (pow beta 2) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (- (pow beta 2) 1.0) 1)))) 2) into (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1/2 (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))))) (+ (* 0 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0))))) into (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 8 (/ beta (- (pow beta 2) 1.0))) 2) 2)) (* (/ (pow (- (* 8 (/ 1 (- (pow beta 2) 1.0))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) 1) 1)))) into (* (pow (- (pow beta 2) 1.0) 2) (+ (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 8 (/ 1 (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 4) (+ (* (* 8 (* (- (pow beta 2) 1.0) beta)) (* 4 beta)) (* (* (pow (- (pow beta 2) 1.0) 2) (+ (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) (* 8 (/ 1 (- (pow beta 2) 1.0))))) (pow beta 2)))) into (- (+ 4.0 (+ (* 8.0 (/ (pow beta 2) (- (pow beta 2) 1.0))) (+ (* 16 (/ (pow beta 8) (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 6) (- (pow beta 2) 1.0))) (+ (* 16.0 (/ (pow beta 4) (pow (- (pow beta 2) 1.0) 2))) (* 36 (pow beta 4))))))) (+ (* 16.0 (/ (pow beta 4) (- (pow beta 2) 1.0))) (+ (* 40.0 (pow beta 2)) (* 32.0 (/ (pow beta 6) (pow (- (pow beta 2) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ 4.0 (+ (* 8.0 (/ (pow beta 2) (- (pow beta 2) 1.0))) (+ (* 16 (/ (pow beta 8) (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 6) (- (pow beta 2) 1.0))) (+ (* 16.0 (/ (pow beta 4) (pow (- (pow beta 2) 1.0) 2))) (* 36 (pow beta 4))))))) (+ (* 16.0 (/ (pow beta 4) (- (pow beta 2) 1.0))) (+ (* 40.0 (pow beta 2)) (* 32.0 (/ (pow beta 6) (pow (- (pow beta 2) 1.0) 2))))))) (+ (* beta (- (+ (* 4.0 beta) (* 12 (pow beta 5))) (* 16.0 (pow beta 3)))) (* 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))))) into (- (+ (* 5.0 (pow beta 2)) (* 13 (pow beta 6))) (* 18.0 (pow beta 4)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) (+ (* (/ (pow beta 4) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) (/ (- (+ (* 5.0 (pow beta 2)) (* 13 (pow beta 6))) (* 18.0 (pow beta 4))) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))))) into (- (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow (* 4 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 4 (/ 1 (pow beta 2)))) 1) 1)))) into 4
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) 4) (+ (* (* 4 beta) (* 4 beta)) (* 4 (pow beta 2)))) into (- (* 24 (pow beta 2)) 4.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 24 (pow beta 2)) 4.0)) (+ (* beta (- (* 8 (pow beta 3)) (* 4.0 beta))) (* 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 9 (pow beta 4)) (* 5.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 5.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (- (* 5.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))
* [misc]backup-simplify:  Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2)))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) into (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))))
* [misc]backup-simplify:  Simplify (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) into (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into (/ -2 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ -2 (pow beta 2))) (+ (* 0 (/ 2 beta)) (* 0 (log beta)))) into (- (* 6 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow (* 6 (/ 1 beta)) 2) 2)) (* (/ (pow (- (* 6 (/ 1 (pow beta 2)))) 1) 1)))) into (* 12 beta)
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (+ (* (- (pow beta 2) 1.0) (* 12 beta)) (+ (* (* 4 beta) (* 6 (pow beta 2))) (* 4 (pow beta 3)))) into (- (* 40 (pow beta 3)) (* 12.0 beta))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (- (* 40 (pow beta 3)) (* 12.0 beta))) (+ (* beta (- (* 10 (pow beta 4)) (* 6.0 (pow beta 2)))) (* 1 (* (- (pow beta 2) 1.0) (pow beta 3))))) into (- (* 11 (pow beta 5)) (* 7.0 (pow beta 3)))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 6) (* 1.0 (pow beta 4)))) (+ (* (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) (/ (- (* 11 (pow beta 5)) (* 7.0 (pow beta 3))) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (- (* 7.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (- (* 7.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))))) into (- (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) into (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))
* [misc]backup-simplify:  Simplify (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) into (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) 0) into (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))
* [misc]backup-simplify:  Simplify (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))
* [misc]backup-simplify:  Simplify (+ (- (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))
* [misc]backup-simplify:  Simplify (+ (- (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) into (- (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))
* [misc]backup-simplify:  Simplify (+ (- (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 13/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 9/4 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))) into (- (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (- (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4)))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 2.5 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 19.5 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 13.5 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 8.5 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (/ 3 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 0.0625 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))) (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))) into (- (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (- (+ (* 5.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 3 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 39.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))))))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 27.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))))) (- (+ (* 27.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 17.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 11/4 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (* 9/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))))) (+ (* 1/4 (/ (pow beta 2) (- (pow beta 6) (* 1.0 (pow beta 4))))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 1.75 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 39.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 3 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 0.625 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 1/4 (/ beta (- (pow beta 5) (* 1.0 (pow beta 3)))))))))))))))))))) into (- (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))))) (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) 1) into -1.0
* [misc]backup-simplify:  Simplify (/ 1 -1.0) into -1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 27/2 (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 27/2 in beta
* [misc]backup-simplify:  Simplify 27/2 into 27/2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 5) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/8 in beta
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (+ (log i) (log beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (+ (log i) (log beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (log i) (log beta)) in beta
* [misc]taylor:  Taking taylor expansion of (log i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]taylor:  Taking taylor expansion of (log beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log beta)) 0) into (log beta)
* [misc]backup-simplify:  Simplify (+ (log i) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow -1.0 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow -1.0 2) (exp (* 2 (+ (log i) (log beta)))))) into (/ 1 (* (pow -1.0 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 13 (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 13 in beta
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 10) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 10) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 7) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (log 1.0) into (log 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log 1.0)) into (+ (* 3 (log beta)) (log 1.0))
* [misc]backup-simplify:  Simplify (* 2 (+ (* 3 (log beta)) (log 1.0))) into (* 2 (+ (* 3 (log beta)) (log 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (* 3 (log beta)) (log 1.0)))) into (exp (* 2 (+ (* 3 (log beta)) (log 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (* 3 (log beta)) (log 1.0))))) into (/ 1 (exp (* 2 (+ (* 3 (log beta)) (log 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 32.0 (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 32.0 in beta
* [misc]backup-simplify:  Simplify 32.0 into 32.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 8) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (* 3 (log beta)))) into (* 2 (+ (log (- 1.0)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))) into (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 56.0 in beta
* [misc]backup-simplify:  Simplify 56.0 into 56.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 12) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (* 3 (log beta)))) into (* 2 (+ (log (- 1.0)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))) into (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 5) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) in beta
* [misc]taylor:  Taking taylor expansion of (* 6.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 6.0 in beta
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 11)) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 11) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (pow beta 9)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]taylor:  Taking taylor expansion of (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 5.0 in beta
* [misc]backup-simplify:  Simplify 5.0 into 5.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 6) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 7) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (log 1.0) into (log 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log 1.0)) into (+ (* 3 (log beta)) (log 1.0))
* [misc]backup-simplify:  Simplify (* 2 (+ (* 3 (log beta)) (log 1.0))) into (* 2 (+ (* 3 (log beta)) (log 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (* 3 (log beta)) (log 1.0)))) into (exp (* 2 (+ (* 3 (log beta)) (log 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (* 3 (log beta)) (log 1.0))))) into (/ 1 (exp (* 2 (+ (* 3 (log beta)) (log 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/8 in beta
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (pow beta 2) 1.0) (exp (* 2 (+ (log i) (log beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (+ (log i) (log beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (+ (log i) (log beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (log i) (log beta)) in beta
* [misc]taylor:  Taking taylor expansion of (log i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]taylor:  Taking taylor expansion of (log beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log beta)) 0) into (log beta)
* [misc]backup-simplify:  Simplify (+ (log i) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (* (- 1.0) (exp (* 2 (+ (log i) (log beta))))) into (* -1.0 (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* -1.0 (exp (* 2 (+ (log i) (log beta)))))) into (/ -1.0 (exp (* 2 (+ (log i) (log beta)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 7) (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 6.0 (pow beta 7)) (+ (* 1.0 (pow beta 3)) (pow beta 11))) in beta
* [misc]taylor:  Taking taylor expansion of (* 6.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 6.0 in beta
* [misc]backup-simplify:  Simplify 6.0 into 6.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 11)) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 11) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (pow beta 5)) (* 4.0 (pow beta 9))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (pow beta 9)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 17 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 17 in beta
* [misc]backup-simplify:  Simplify 17 into 17
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 14) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (* 3 (log beta)))) into (* 2 (+ (log (- 1.0)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))) into (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 66.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 66.0 in beta
* [misc]backup-simplify:  Simplify 66.0 into 66.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 10) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (* 3 (log beta)))) into (* 2 (+ (log (- 1.0)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))) into (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 0.125 (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of 0.125 in beta
* [misc]backup-simplify:  Simplify 0.125 into 0.125
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (+ (log i) (log beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (+ (log i) (log beta))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (+ (log i) (log beta)) in beta
* [misc]taylor:  Taking taylor expansion of (log i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]taylor:  Taking taylor expansion of (log beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log beta)) 0) into (log beta)
* [misc]backup-simplify:  Simplify (+ (log i) (log beta)) into (+ (log i) (log beta))
* [misc]backup-simplify:  Simplify (* 2 (+ (log i) (log beta))) into (* 2 (+ (log i) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log i) (log beta)))) into (exp (* 2 (+ (log i) (log beta))))
* [misc]backup-simplify:  Simplify (* (pow (- 1.0) 2) (exp (* 2 (+ (log i) (log beta))))) into (* (pow -1.0 2) (exp (* 2 (+ (log i) (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (* (pow -1.0 2) (exp (* 2 (+ (log i) (log beta)))))) into (/ 1 (* (pow -1.0 2) (exp (* 2 (+ (log i) (log beta))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 18.0 (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 18.0 in beta
* [misc]backup-simplify:  Simplify 18.0 into 18.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 8) (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 8) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 7) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (log 1.0) into (log 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log 1.0)) into (+ (* 3 (log beta)) (log 1.0))
* [misc]backup-simplify:  Simplify (* 2 (+ (* 3 (log beta)) (log 1.0))) into (* 2 (+ (* 3 (log beta)) (log 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (* 3 (log beta)) (log 1.0)))) into (exp (* 2 (+ (* 3 (log beta)) (log 1.0))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (* 3 (log beta)) (log 1.0))))) into (/ 1 (exp (* 2 (+ (* 3 (log beta)) (log 1.0)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 11/2 (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))))) in beta
* [misc]taylor:  Taking taylor expansion of 11/2 in beta
* [misc]backup-simplify:  Simplify 11/2 into 11/2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 3) (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5)))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 7) (* 1.0 (pow beta 3))) (* 2.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 7) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (* 2.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 2.0 in beta
* [misc]backup-simplify:  Simplify 2.0 into 2.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (+ 1.0 0) into 1.0
* [misc]backup-simplify:  Simplify (/ 1 1.0) into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 5.0 (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 5.0 in beta
* [misc]backup-simplify:  Simplify 5.0 into 5.0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 6) (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 6) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (+ (* (- -3) (log beta)) (log (- 1.0))) into (+ (log (- 1.0)) (* 3 (log beta)))
* [misc]backup-simplify:  Simplify (* 2 (+ (log (- 1.0)) (* 3 (log beta)))) into (* 2 (+ (log (- 1.0)) (* 3 (log beta))))
* [misc]backup-simplify:  Simplify (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))) into (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))
* [misc]backup-simplify:  Simplify (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta)))))) into (/ 1 (exp (* 2 (+ (log (- 1.0)) (* 3 (log beta))))))
* [misc]taylor:  Taking taylor expansion of (* 5.5 (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))))) in beta
* [misc]taylor:  Taking taylor expansion of 5.5 in beta
* [misc]backup-simplify:  Simplify 5.5 into 5.5
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 3) (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]taylor:  Taking taylor expansion of (- (+ (pow beta 9) (* 3.0 (pow beta 5))) (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 9) (* 3.0 (pow beta 5))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 9) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 5)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 5) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 3.0 (pow beta 7)) (* 1.0 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3.0 (pow beta 7)) in beta
* [misc]taylor:  Taking taylor expansion of 3.0 in beta
* [misc]backup-simplify:  Simplify 3.0 into 3.0
* [misc]taylor:  Taking taylor expansion of (pow beta 7) in beta
* [misc]taylor:  Taking taylor expansion of (* 1.0 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (* 1.0 1) into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (+ (* 0 0) (* 1 1))) into 1
* [misc]backup-simplify:  Simplify (+ (* (- 1.0) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 1 -1.0)) (* 0 (/ 0 -1.0)))) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow -1.0 2)) 0) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (pow -1.0 2))) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ (- 1.0) (/ 1 (pow -1.0 2))) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- (/ 1 (pow -1.0 2)) 1.0)) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (* 11/2 1.0) into 5.5
* [misc]backup-simplify:  Simplify (* 5.5 -1.0) into -5.5
* [misc]backup-simplify:  Simplify (+ 0 -5.5) into (- 5.5)
* [misc]backup-simplify:  Simplify (+ 5.5 (- 5.5)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (pow -1.0 2)) 1.0) 0) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (- (/ 1 (pow -1.0 2)) 1.0) into (- (/ 1 (pow -1.0 2)) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- (/ 1 (pow -1.0 2)) 1.0) (* 1 (* i (pow alpha 3)))) (+ (* -1.0 (pow (* 1 (* i 1)) 2)) (* -1.0 (* 1 (* i alpha))))) into (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (sqrt 1/4) into 1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 beta) (/ 1 alpha)) 1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (sqrt 1/4) into 1/2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 beta) (/ 1 alpha)) 1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 i)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 beta)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (/ 1 i))) into (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))) (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 i)) (/ (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (pow (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2)))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (pow (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))) (+ (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2)))))))) 0))) into (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (sqrt 1/4) into 1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 beta) (/ 1 alpha))) -1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ 1 4) into 1/4
* [misc]backup-simplify:  Simplify (sqrt 1/4) into 1/2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 beta) (/ 1 alpha))) -1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 4)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 1/4))) into 0
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (/ -1 -2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 i) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 0 (/ 1 i)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 beta))) -1) (+ (* 1 (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (- (/ 1 i)) (/ 1 i))) into (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (/ 1 i))) into (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))) (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (- (/ 1 i)) (/ (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)))) into (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2))))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 4 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (- (/ 1 i)) (- (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))))) (* (+ (/ 1 (* beta i)) (* 2 (/ 1 (pow i 2)))) (/ 1 i)))) into (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (pow (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (+ (* 8 (/ 1 (pow i 3))) (+ (* 6 (/ 1 (* beta (pow i 2)))) (/ 1 (* (pow beta 2) i))))) (+ (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (- (+ (/ 1 (* beta i)) (* 3 (/ 1 (pow i 2)))))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2)))))))) (/ 1 i)))) into (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2))))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 5 (/ 1 (* beta i))) (* 3 (/ 1 (pow i 2)))))) (pow (* +nan.0 (+ (/ 1 i) (/ 1 beta))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))) (+ (* (* +nan.0 (+ (/ 1 i) (/ 1 beta))) (- (+ (* +nan.0 (/ 1 (* beta i))) (- (* +nan.0 (/ 1 (pow i 2))))))) (* (* +nan.0 (+ (* +nan.0 (/ 1 (* beta i))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (* +nan.0 (/ 1 (pow i 2)))))))) 0))) into (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 3))) (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ 1 (* beta (pow i 2)))) (- (* +nan.0 (/ 1 (* (pow beta 2) i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow beta 2) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (log1p (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 2 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (expm1 (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 3 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (pow (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 1)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 4 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (exp (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* * * * [misc]progress:  [ 5 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (exp (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 6 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (log (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 7 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (cbrt (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (479 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 8 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 9 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (cbrt (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 10 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 11 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (- (fma (+ (+ alpha i) beta) i (* beta alpha))) (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (- (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (386 enodes)
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [enter]simplify:  Simplifying (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 12 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 13 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 14 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 15 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 16 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 17 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 18 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 19 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 20 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (/ 1 1) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* * * * [misc]progress:  [ 21 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 22 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 23 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 24 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 25 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 26 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* * * * [misc]progress:  [ 27 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 28 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 29 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 30 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (log1p (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 31 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (expm1 (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 32 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (pow (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 1)) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 33 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (exp (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* [exit]simplify:  Simplified to (- (log (fma (+ alpha (+ beta i)) i (* beta alpha))) (log (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* * * * [misc]progress:  [ 34 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (exp (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (log (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 35 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (log (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 36 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (cbrt (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (479 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 37 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 38 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (cbrt (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (313 enodes)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* [exit]simplify:  Simplified to (pow (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)
* * * * [misc]progress:  [ 39 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 40 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (- (fma (+ (+ alpha i) beta) i (* beta alpha))) (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (- (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (386 enodes)
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [enter]simplify:  Simplifying (- (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* [exit]simplify:  Simplified to (- 1.0 (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)))
* * * * [misc]progress:  [ 41 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (68 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 42 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (/ (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 43 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 44 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (* (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 45 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 46 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 47 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 48 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 49 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (/ 1 1) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))
* * * * [misc]progress:  [ 50 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* * * * [misc]progress:  [ 51 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ 1 (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 52 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 53 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 54 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 55 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* * * * [misc]progress:  [ 56 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (cbrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 57 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ i (+ beta alpha)) i (* alpha beta))))
* * * * [misc]progress:  [ 58 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ 1 (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* [exit]simplify:  Simplified to (/ (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (fma (+ (+ beta alpha) i) i (* alpha beta)))
* * * * [misc]progress:  [ 59 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log1p (expm1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (expm1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (expm1 (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [exit]simplify:  Simplified to (expm1 (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* * * * [misc]progress:  [ 60 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (expm1 (log1p (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (log1p (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (log1p (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [exit]simplify:  Simplified to (log1p (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* * * * [misc]progress:  [ 61 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 62 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 1)))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 63 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 1)))>
* * * * [misc]progress:  [ 64 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (- (log (/ i (+ alpha (fma i 2 beta)))) (- (log (+ alpha (fma i 2 beta))) (log (+ i (+ alpha beta))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (- (log (/ i (+ alpha (fma i 2 beta)))) (- (log (+ alpha (fma i 2 beta))) (log (+ i (+ alpha beta))))))
* * * * [misc]progress:  [ 65 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))) (log (/ i (+ alpha (fma i 2 beta))))) (log (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta)))) (log (/ i (+ alpha (fma i 2 beta))))) (log (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))))
* * * * [misc]progress:  [ 66 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (log (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ i (+ alpha beta))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (log (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ i (+ alpha beta))))))
* * * * [misc]progress:  [ 67 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (exp (log (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (log (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i))))
* [exit]simplify:  Simplified to (log (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i))))
* * * * [misc]progress:  [ 68 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (exp (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (293 enodes)
* [exit]simplify:  Simplified to (exp (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i))))
* [exit]simplify:  Simplified to (exp (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (+ alpha (fma i 2 beta))) (/ (+ alpha (fma i 2 beta)) i))))
* * * * [misc]progress:  [ 69 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (89 enodes)
* * [misc]simplify:  iters left: 4 (416 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (* (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))) (* (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))))) (* (* (/ i (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (* (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))) (* (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))))) (* (* (/ i (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 70 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (246 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (* (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ (+ alpha beta) i) (fma i 2 (+ alpha beta))) (/ (+ (+ alpha beta) i) (fma i 2 (+ alpha beta))))) (* (* (/ i (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))) (* (/ (+ (+ alpha beta) i) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (* (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ (+ alpha beta) i) (fma i 2 (+ alpha beta))) (/ (+ (+ alpha beta) i) (fma i 2 (+ alpha beta))))) (* (* (/ i (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))) (* (/ (+ (+ alpha beta) i) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))))
* * * * [misc]progress:  [ 71 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (179 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (+ (+ beta i) alpha) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (* (/ (+ (+ beta i) alpha) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta))))) (* (* (* (/ (+ (+ beta i) alpha) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (* (* (/ (+ (+ beta i) alpha) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (* (/ (+ (+ beta i) alpha) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta))))) (* (* (* (/ (+ (+ beta i) alpha) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 72 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha))) (/ i (+ (fma i 2 beta) alpha))))) (cbrt (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha))) (/ i (+ (fma i 2 beta) alpha))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha))) (/ i (+ (fma i 2 beta) alpha))))) (cbrt (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha))) (/ i (+ (fma i 2 beta) alpha))))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (cbrt (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [exit]simplify:  Simplified to (cbrt (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* * * * [misc]progress:  [ 73 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (143 enodes)
* [exit]simplify:  Simplified to (* (* (* (* (/ i (fma 2 i (+ alpha beta))) (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))))) (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))))))
* [exit]simplify:  Simplified to (* (* (* (* (/ i (fma 2 i (+ alpha beta))) (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))))) (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))))))
* * * * [misc]progress:  [ 74 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (sqrt (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* [exit]simplify:  Simplified to (sqrt (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))))
* * * * [misc]progress:  [ 75 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) i)) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) i))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* * [misc]simplify:  iters left: 2 (458 enodes)
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (sqrt (* (+ beta i) (+ i alpha))))
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (sqrt (* (+ beta i) (+ i alpha))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (386 enodes)
* [exit]simplify:  Simplified to (* (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (* (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 76 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma i (+ i alpha) (* beta (+ i alpha)))) (/ (+ (fma i 2 beta) alpha) (fma i (+ i alpha) (* beta i))))
* [exit]simplify:  Simplified to (/ (sqrt (fma i (+ i alpha) (* beta (+ i alpha)))) (/ (+ (fma i 2 beta) alpha) (fma i (+ i alpha) (* beta i))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 77 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (291 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha beta) (* i i)) (fma 2 i (+ alpha beta))) (sqrt (fma (+ i (+ alpha beta)) i (* beta alpha))))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha beta) (* i i)) (fma 2 i (+ alpha beta))) (sqrt (fma (+ i (+ alpha beta)) i (* beta alpha))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 78 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* 1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* * * * [misc]progress:  [ 79 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)))
* * * * [misc]progress:  [ 80 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (cbrt (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 81 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 82 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 83 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* * * * [misc]progress:  [ 84 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* * * * [misc]progress:  [ 85 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)) (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (295 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 86 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* * * * [misc]progress:  [ 87 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ beta (+ i alpha)))))
* * * * [misc]progress:  [ 88 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (295 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ (+ (fma i 2 beta) alpha) i) (/ (+ (fma i 2 beta) alpha) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 89 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 90 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 91 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ 1 1)) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 92 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt 1) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 93 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (/ (fma i 2 (+ beta alpha)) (+ (+ alpha i) beta)) (/ i (fma i 2 (+ beta alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (/ (fma i 2 (+ beta alpha)) (+ (+ alpha i) beta)) (/ i (fma i 2 (+ beta alpha)))))
* * * * [misc]progress:  [ 94 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (294 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (/ (sqrt (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (* (/ (fma i 2 (+ alpha beta)) i) (/ (fma i 2 (+ alpha beta)) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 95 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* 1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (287 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (/ (fma i 2 (+ alpha beta)) (+ beta (+ i alpha))) (/ i (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 96 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) i)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) i))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (333 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ i alpha) i (* beta (+ i alpha))) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (fma (+ i alpha) i (* beta i)))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ i alpha) i (* beta (+ i alpha))) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (fma (+ i alpha) i (* beta i)))
* * * * [misc]progress:  [ 97 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (227 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (fma i 2 (+ alpha beta)) (fma i (+ i alpha) (* beta i))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (/ (fma i 2 (+ alpha beta)) (fma i (+ i alpha) (* beta i))))
* * * * [misc]progress:  [ 98 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (379 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (fma 2 i (+ alpha beta)) (fma (+ i alpha) i (* beta i))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (fma 2 i (+ alpha beta)) (fma (+ i alpha) i (* beta i))))
* * * * [misc]progress:  [ 99 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))) (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))))
* [exit]simplify:  Simplified to (* (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))) (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))))
* * * * [misc]progress:  [ 100 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))>
* * * * [misc]progress:  [ 101 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (expm1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (expm1 (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 102 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (log1p (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (log1p (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 103 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 104 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 105 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 106 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) 1))>
* * * * [misc]progress:  [ 107 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (369 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))) (+ (- (log i) (log (fma i 2 (+ alpha beta)))) (- (log (+ i (+ alpha beta))) (log (fma i 2 (+ alpha beta))))))
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))) (log (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))) (+ (- (log i) (log (fma i 2 (+ alpha beta)))) (- (log (+ i (+ alpha beta))) (log (fma i 2 (+ alpha beta))))))
* * * * [misc]progress:  [ 108 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (306 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (+ (+ (log (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta)))) (log (/ i (fma 2 i (+ alpha beta))))) (log (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (+ (+ (log (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta)))) (log (/ i (fma 2 i (+ alpha beta))))) (log (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))))
* * * * [misc]progress:  [ 109 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (292 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (log (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))) (log (* (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta))))))
* [exit]simplify:  Simplified to (+ (+ (log (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (log (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))) (log (* (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta))))))
* * * * [misc]progress:  [ 110 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (+ (log (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))))) (log (/ (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (+ alpha (fma i 2 beta)) i))))
* [exit]simplify:  Simplified to (+ (log (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (+ (+ alpha beta) i) (+ alpha (fma i 2 beta))))) (log (/ (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (/ (+ alpha (fma i 2 beta)) i))))
* * * * [misc]progress:  [ 111 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (402 enodes)
* [exit]simplify:  Simplified to (log (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ i (+ alpha beta))))))
* [exit]simplify:  Simplified to (log (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ i (+ alpha beta))))))
* * * * [misc]progress:  [ 112 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ (+ beta i) alpha)))))
* [exit]simplify:  Simplified to (exp (* (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (/ i (+ (fma i 2 beta) alpha)) (/ (+ (fma i 2 beta) alpha) (+ (+ beta i) alpha)))))
* * * * [misc]progress:  [ 113 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (* (* (+ (+ alpha i) beta) (+ (+ alpha i) beta)) (+ (+ alpha i) beta)) (* (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (95 enodes)
* * [misc]simplify:  iters left: 4 (460 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (* (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta)))) (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta))))) (* (* (/ i (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (* (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta)))) (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta))))) (* (* (/ i (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 114 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (68 enodes)
* * [misc]simplify:  iters left: 4 (288 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))))) (* (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))) (* (/ i (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))) (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (* (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))))) (* (* (/ (+ beta (+ i alpha)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))) (* (/ i (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))) (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 115 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (219 enodes)
* [exit]simplify:  Simplified to (* (* (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))))) (* (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (* (* (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))))) (* (* (/ (+ beta (+ i alpha)) (fma 2 i (+ alpha beta))) (/ i (fma 2 i (+ alpha beta)))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 116 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (195 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) (* (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))))
* [exit]simplify:  Simplified to (* (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) (* (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta))))) (* (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (* (/ (+ i (+ alpha beta)) (fma i 2 (+ alpha beta))) (/ i (fma i 2 (+ alpha beta)))))))
* * * * [misc]progress:  [ 117 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))) (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))))) (cbrt (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))))) (cbrt (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))) (* (/ i (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 118 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (152 enodes)
* [exit]simplify:  Simplified to (pow (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))) 3)
* [exit]simplify:  Simplified to (pow (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))) (/ (/ (+ alpha (+ beta i)) (fma i 2 (+ alpha beta))) (/ (fma i 2 (+ alpha beta)) i))) 3)
* * * * [misc]progress:  [ 119 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (358 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (/ (/ (+ alpha (fma i 2 beta)) i) (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 120 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) i))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) i)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (361 enodes)
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (fma (+ i alpha) i (* beta (+ i alpha))))
* [exit]simplify:  Simplified to (* (fma (+ i alpha) i (* beta i)) (fma (+ i alpha) i (* beta (+ i alpha))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* [exit]simplify:  Simplified to (* (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)) (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))
* [exit]simplify:  Simplified to (* (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)) (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))
* * * * [misc]progress:  [ 121 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (191 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (/ (+ alpha (fma i 2 beta)) (fma (+ beta i) i (* i alpha))))
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (/ (+ alpha (fma i 2 beta)) (fma (+ beta i) i (* i alpha))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 122 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (97 enodes)
* * [misc]simplify:  iters left: 3 (444 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (/ (+ (fma i 2 beta) alpha) (fma (+ i alpha) i (* beta i))))
* [exit]simplify:  Simplified to (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (/ (+ (fma i 2 beta) alpha) (fma (+ i alpha) i (* beta i))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 123 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) i))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) i)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (* (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ i alpha) i (* beta i))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (* (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (fma (+ i alpha) i (* beta i))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (386 enodes)
* [exit]simplify:  Simplified to (* (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (* (* (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 124 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (302 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (/ (+ (fma i 2 beta) alpha) (fma i (+ i alpha) (* beta i))) (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (/ (/ (+ (fma i 2 beta) alpha) (fma i (+ i alpha) (* beta i))) (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha)))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 125 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (* (* (/ (* i (+ (+ alpha beta) i)) (fma i 2 (+ alpha beta))) (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))) (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (* (/ (* i (+ (+ alpha beta) i)) (fma i 2 (+ alpha beta))) (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))) (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* [exit]simplify:  Simplified to (* (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (+ (fma 2 i alpha) beta))
* * * * [misc]progress:  [ 126 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (254 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (+ alpha (fma i 2 beta)) i))
* [exit]simplify:  Simplified to (/ (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (fma (+ beta (+ i alpha)) i (* beta alpha))) (/ (+ alpha (fma i 2 beta)) i))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))
* [exit]simplify:  Simplified to (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))
* * * * [misc]progress:  [ 127 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* * * * [misc]progress:  [ 128 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 129 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 130 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (/ (/ (/ (fma 2 i (+ alpha beta)) i) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))) (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (/ (sqrt (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (/ (/ (/ (fma 2 i (+ alpha beta)) i) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))) (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 131 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 132 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 133 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (sqrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (sqrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 134 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)) (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (371 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ i (+ alpha (fma i 2 beta))) (/ (+ (+ beta i) alpha) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (sqrt (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ i (+ alpha (fma i 2 beta))) (/ (+ (+ beta i) alpha) (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 135 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (sqrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (sqrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 136 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (sqrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (sqrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (* (/ (/ (+ i (+ alpha beta)) (fma 2 i (+ alpha beta))) (/ (fma 2 i (+ alpha beta)) i)) (sqrt (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))) (sqrt (/ (sqrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (sqrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 137 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)) (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (371 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ i (+ alpha (fma i 2 beta))) (/ (+ (+ beta i) alpha) (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (sqrt (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ i (+ alpha (fma i 2 beta))) (/ (+ (+ beta i) alpha) (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 138 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ 1 (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (377 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 139 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (377 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (* (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ (+ beta i) alpha) (+ (fma i 2 beta) alpha)))))
* * * * [misc]progress:  [ 140 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (/ 1 1)) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 141 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt 1) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 142 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (373 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (/ (/ (fma i 2 (+ beta alpha)) (+ (+ alpha i) beta)) (/ i (fma i 2 (+ beta alpha)))) (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (/ (sqrt (/ 1 (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (/ (/ (fma i 2 (+ beta alpha)) (+ (+ alpha i) beta)) (/ i (fma i 2 (+ beta alpha)))) (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* * * * [misc]progress:  [ 143 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 144 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (* (/ i (+ (fma i 2 beta) alpha)) (/ (+ alpha (+ beta i)) (+ (fma i 2 beta) alpha))))
* * * * [misc]progress:  [ 145 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) i))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) i)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (108 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (fma (+ i alpha) i (* beta i)) (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (fma (+ i alpha) i (* beta i)) (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))))
* * * * [misc]progress:  [ 146 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (301 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma i (+ i alpha) (* beta i)) (fma i 2 (+ alpha beta)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (* (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (/ (fma i (+ i alpha) (* beta i)) (fma i 2 (+ alpha beta)))))
* * * * [misc]progress:  [ 147 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (122 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (* (/ i (fma 2 i (+ alpha beta))) (+ alpha (+ beta i)))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (* (/ i (fma 2 i (+ alpha beta))) (+ alpha (+ beta i)))))
* * * * [misc]progress:  [ 148 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) i))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) i)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (101 enodes)
* * [misc]simplify:  iters left: 3 (471 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ i alpha) i (* beta (+ i alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (+ (* beta i) (* (+ i alpha) i)))
* [exit]simplify:  Simplified to (* (/ (fma (+ i alpha) i (* beta (+ i alpha))) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))) (+ (* beta i) (* (+ i alpha) i)))
* * * * [misc]progress:  [ 149 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i))) (+ (fma i 2 alpha) beta)))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (280 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ i alpha) (* beta i)) (fma i 2 (+ alpha beta))) (fma (+ beta (+ i alpha)) i (* beta alpha))) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ i alpha) (* beta i)) (fma i 2 (+ alpha beta))) (fma (+ beta (+ i alpha)) i (* beta alpha))) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))
* * * * [misc]progress:  [ 150 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta))))) (+ (fma i 2 alpha) beta)))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (+ (+ alpha i) beta) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* [exit]simplify:  Simplified to (* (* (/ i (fma 2 i (+ alpha beta))) (+ beta (+ i alpha))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (* (* (/ i (fma 2 i (+ alpha beta))) (+ beta (+ i alpha))) (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 151 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (376 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (* (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta))))))
* * * * [misc]progress:  [ 152 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))>
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (/ (/ (/ (+ beta (fma 2 i alpha)) i) (/ (+ beta (+ i alpha)) (+ beta (fma 2 i alpha)))) (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (/ (/ (/ (+ beta (fma 2 i alpha)) i) (/ (+ beta (+ i alpha)) (+ beta (fma 2 i alpha)))) (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha)))))
* * * * [misc]progress:  [ 153 / 165 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))>
* * * * [misc]progress:  [ 154 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (193 enodes)
* [exit]simplify:  Simplified to (* (* (/ (* i (+ (+ beta i) alpha)) (* (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)))) (sqrt (fma (- 1.0) (* alpha (+ beta i)) (* (- 1.0) (* i i))))) (sqrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 155 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt 0) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt 0) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (/ (* (sqrt 0) i) (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))))
* * * * [misc]progress:  [ 156 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt 0) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt 0) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (375 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (/ (* (sqrt 0) i) (fma 2 i (+ alpha beta))) (/ (+ alpha (+ beta i)) (fma 2 i (+ alpha beta)))))
* * * * [misc]progress:  [ 157 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta alpha)) (* 1.0 (* alpha i)))))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (72 enodes)
* * [misc]simplify:  iters left: 4 (193 enodes)
* [exit]simplify:  Simplified to (* (sqrt (/ (fma (+ (+ alpha beta) i) i (* alpha beta)) (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (* (/ (* (+ (+ alpha beta) i) i) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (sqrt (* (- 1.0) (fma alpha (+ i beta) (* i i))))))
* * * * [misc]progress:  [ 158 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt 0) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt 0) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (368 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (/ (* (/ (+ beta (fma 2 i alpha)) i) (/ (+ beta (fma 2 i alpha)) (+ i (+ alpha beta)))) (sqrt 0)))
* * * * [misc]progress:  [ 159 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt 0) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (* (sqrt 0) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (368 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma i (+ i (+ alpha beta)) (* alpha beta)) (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (/ (* (/ (+ beta (fma 2 i alpha)) i) (/ (+ beta (fma 2 i alpha)) (+ i (+ alpha beta)))) (sqrt 0)))
* * * * [misc]progress:  [ 160 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (- (+ (* +nan.0 (pow i 2)) (- (+ (* +nan.0 (/ (* alpha (pow i 2)) (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- (+ (* +nan.0 (* (pow alpha 2) i)) (- (* +nan.0 (* alpha (pow i 2))))))))))))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (- (+ (* +nan.0 (pow i 2)) (- (+ (* +nan.0 (/ (* alpha (pow i 2)) (exp (* 2 (+ (log (- 1.0)) (log beta)))))) (- (+ (* +nan.0 (* (pow alpha 2) i)) (- (* +nan.0 (* alpha (pow i 2)))))))))))
* * * * [misc]progress:  [ 161 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 0))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 0)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 162 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 0))>
* [enter]simplify:  Simplifying (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 0)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 163 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i))))))>
* [enter]simplify:  Simplifying (- (/ (* (pow alpha 3) i) (pow -1.0 2)) (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* alpha i)) (* 1.0 (* (pow alpha 3) i)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (125 enodes)
* * [misc]simplify:  iters left: 3 (442 enodes)
* [exit]simplify:  Simplified to (- (/ (* i alpha) (* (/ -1.0 alpha) (/ -1.0 alpha))) (* (* 1.0 i) (fma (fma alpha alpha 1) alpha i)))
* * * * [misc]progress:  [ 164 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 165 / 165 ] simplifiying candidate #<alt-event (λ (alpha beta i) 0)>
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 7
* [misc]none:  All alts: 9
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Non-fresh alt: (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  Fresh alt: (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Non-fresh alt: (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  Fresh alt: (λ (alpha beta i) 0)
* [misc]none:  Fresh alt indexes
* [misc]none:  (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 1
* [misc]none:  (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))): 2
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))): 3
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 4
* [misc]none:  (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 5
* [misc]none:  (λ (alpha beta i) 0): 6
* [misc]none:  Best fresh alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 6
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 6
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 6
* [misc]none:  (5.61934277918027e+174 2.7945548512777507e-93 8.596129346916678e+204): 6
* [misc]none:  (-4.080831534294507e-88 1.402410735611396e-279 3.476204105958582e+266): 6
* [misc]none:  (4.255354559505271e-229 555031477569.7085 3.299744586399722e+213): 6
* [misc]none:  (3.7973607488961015e+232 1.6373878856164477e-262 6.879985829801786e+55): 0
* [misc]none:  (6.766050376169892e+154 4.2022977025573256e+223 2.182590077894994e+226): 6
* [misc]none:  (6.735844817040533e-195 3.4865714643101984e+34 1.7357028950249683e+168): 6
* [misc]none:  (-1.1961798405282767e-173 1.2796527454892258e+245 3.4022559315451535e+93): 6
* [misc]none:  (4.4470255968472246e-241 -1.71025345910351e-270 7.068559296425852e+56): 0
* [misc]none:  (7.190485440730506e-86 8.537836348446779e-200 1.6607770721893586e+152): 1
* [misc]none:  (1.9072763343588818e+257 8.042811165456128e-282 2.8647980908948046e+186): 6
* [misc]none:  (-4.439394655811471e-264 7.319785109107187e-305 4.385881120320383e+222): 6
* [misc]none:  (-6.158408114466146e-48 3.564974554152259e-26 3.3111576747354065e+177): 6
* [misc]none:  (9.710705703567448e-84 -5.970171916063175e-49 4.445007074989548e+137): 0
* [misc]none:  (-2.83249595786485e-50 5.163288024601075e+70 6.892681868285218e+108): 0
* [misc]none:  (3.097079364057181e-284 -1.3822334033532158e-301 2.502192339955283e+150): 0
* [misc]none:  (4.9216163308759326e+39 -1.720661369578677e-48 1.1471432158008706e+123): 0
* [misc]none:  (3.0141907850007194e-198 -1.1297823189716283e-207 5.182568802050799e+101): 0
* [misc]none:  (1.3358328721280612e-281 3.868486220615868e+260 5.604494982908127e+203): 6
* [misc]none:  (-1.083448091852679e-178 -7.03924037089523e-157 5.647439974261731e+167): 6
* [misc]none:  (4.4356684044462544e+271 1.0744031960883307e+47 2.519690540973018e+131): 6
* [misc]none:  (2.945387670994063e+21 -1.1090785722583569e-172 9.425834399197272e+24): 1
* [misc]none:  (-1.5956346162151835e-117 2.1651094566695785e-259 8.090384072211944e+222): 6
* [misc]none:  (7.993722147828383e-111 1.3572468481668781e+45 1.3529207365462511e+132): 0
* [misc]none:  (-2.142874593016839e-183 -1.4847788116065533e-88 5.752677339125854e+212): 6
* [misc]none:  (1.985812550466042e-201 4.1258809057875005e-127 2.7466215177320597e+250): 6
* [misc]none:  (-4.620512466049411e-201 -2.0060175050360887e-307 2.6144645569087944e+278): 6
* [misc]none:  (-1.1015952537498483e-79 -7.010321277061088e-67 2.086947421573907e+83): 0
* [misc]none:  (1.8696990318611146e+117 1.4671237477497495e-96 3.1151972975142725e+121): 2
* [misc]none:  (5.785254961192753e-60 2.32384995099013e+36 2.1598217809064176e+52): 5
* [misc]none:  (1.4428163470894284e+174 -1.2477683116919208e-262 1.590072085688416e+184): 6
* [misc]none:  (-7.503171363984619e-265 7.155555736010119e-55 1.6284673906115043e+240): 6
* [misc]none:  (-1.882691928566161e-235 2.6751238219744926e+23 6.250977213949913e+48): 0
* [misc]none:  (3.034361951330774e-64 -1.2027222718566995e-212 5.396205512421438e+212): 6
* [misc]none:  (2.966548220747157e+50 1.2896694314533046e-264 1.499448335849532e+181): 6
* [misc]none:  (6.688605127241465e-101 5.481648263509847e+270 3.4684867971028833e+80): 6
* [misc]none:  (2.575810898246411e-276 -4.146599016515306e-32 2.973934760980684e+113): 0
* [misc]none:  (1.6981670539636527e-79 -3.085525367781527e-221 6.405779977994198e+198): 6
* [misc]none:  (1.703142057165065e-179 -6.003832016662982e-117 1.0615495140680088e+205): 6
* [misc]none:  (-4.0157523967296e-295 6.090658404564618e+43 1.1386339373743357e+206): 6
* [misc]none:  (-7.556635495994182e-69 3.103848019193651e+243 8.453545965133498e+143): 6
* [misc]none:  (1.1730723403688846e+245 4.861101217107048e+55 5.8999836082374456e+268): 6
* [misc]none:  (2.9867240054370298e-251 -4.3008360185026807e-256 1.269399768057663e+43): 0
* [misc]none:  (9.119699701572206e-49 7.723937088011922e+108 3.9023903595142866e+139): 0
* [misc]none:  (16429.403121678595 1.2014673382948509e+38 1.0981950950221976e+219): 6
* [misc]none:  (1.3202614460517625e-240 7.314215359078128e+129 3.7428804421293206e+215): 6
* [misc]none:  (6.321301209078189e-220 6.928224803602588e+80 2.165855503187697e+89): 0
* [misc]none:  (10803225195616.197 2.159743713967773e-250 2.3543562591768827e+58): 0
* [misc]none:  (4.270779703545474e-63 -2.117874027734717e-163 5.953160686920047e+164): 6
* [misc]none:  (0.0005238454937889118 3.070493024699081 6.337522764052516e+126): 0
* [misc]none:  (8.528108993290675e-253 -4.1898464441488203e-137 9.46393443940892e+285): 6
* [misc]none:  (-4.975178067178524e-21 0.03732745766732279 8.251226474222128e+37): 0
* [misc]none:  (-5.439240507275032e-140 5.399166791278046e+231 4.3225691073250876e+32): 0
* [misc]none:  (1.3437221244491323e-292 -5.3095387033978475e-104 1.8236317557073592e+229): 6
* [misc]none:  (3.8045839576546524e+117 -3.366600938527443e-229 8.831949184271932e+49): 5
* [misc]none:  (-1.3200985233860335e-145 3.5203085076867497e-73 8.70539250471527e+42): 0
* [misc]none:  (-3.066537179692076e-36 2.0030385378791884e+102 8.533420652729534e+16): 2
* [misc]none:  (5.034099319395416e+239 5.868371344683794e-64 4.493411481746003e+112): 6
* [misc]none:  (9.915189055688673e+31 4.6661758735122403e+89 1020430975837.7806): 5
* [misc]none:  (-9.015358049870172e-253 558765569177.7742 2.5692070607205773e+213): 6
* [misc]none:  (4.192946055583942e-172 -1.0961281871162937e-210 5.524671034450979e+282): 6
* [misc]none:  (-9.607501222403516e-36 4.220566541619549e+229 5.921294846763385e+194): 6
* [misc]none:  (8.273981036707964e-83 8.213740624558702e+241 2.6697511218695737e+44): 0
* [misc]none:  (1.9472971042210116e+55 2.410325679373688e-102 1.2460611268797603e+123): 0
* [misc]none:  (1.2113257201693619e-09 1.0645841166201473e+305 1.0149607196063749e+197): 6
* [misc]none:  (1.5085190131561967e-05 4.2246387051977007e-103 1939855977582.9888): 0
* [misc]none:  (-3.189485391989517e-100 1.1187409033955635e-281 5.133128649969222e+296): 6
* [misc]none:  (5.28422336248824e+51 5.881924477500074e+164 3.136906425775605e+223): 6
* [misc]none:  (5.5221836188934915e+228 -2.0387775949624775e-153 1.5538746110121737e+112): 6
* [misc]none:  (-6.409489369008477e-07 -6.541221037831606e-307 4.361739700462092e+218): 6
* [misc]none:  (1.1872595304409585e+18 6.941751691580495e+242 3.652622136346556e+302): 6
* [misc]none:  (1.4086398467772494e+94 1.4386272259034584e-276 1.3688677161205143e+73): 5
* [misc]none:  (-2.3002575529977387e-191 5.475366456312332e+86 9.707862134458523e+150): 0
* [misc]none:  (9.695508756689642e-283 -2.011199216274171e-120 7.746810690720674e+45): 0
* [misc]none:  (1.4606254654946099e+218 362286308265.24884 1.1752126413908857e+285): 6
* [misc]none:  (1.5468232939767947e+197 2.11291859010184e+211 7.576403020944845e+67): 6
* [misc]none:  (3.181764726750022e+16 1.754595798831653e-100 8.319479133217638e+72): 0
* [misc]none:  (3.399998773012643e-116 1.1579490907675504e-220 2.5567828938319964e+169): 6
* [misc]none:  (-8.68550733698779e-252 -1.5666808622500324e-22 5.2649767213558694e+275): 6
* [misc]none:  (9.71962479093554e-305 -1.1763255828040947e-101 2.769486795758668e+122): 0
* [misc]none:  (2.37813709873639e+225 1.786191635336755e-93 1.0570792569722166e+44): 0
* [misc]none:  (-4.656550699936543e-232 -2.8049448001062653e-226 2.9244248037553365e+147): 0
* [misc]none:  (-6.2317001653764e-98 3.616148906854995e+163 2.8852458673731734e+165): 6
* [misc]none:  (-1.4972815817152545e-295 9.038793786704759e-20 4.075042434420979e+193): 6
* [misc]none:  (-6.739035334059127e-121 -2.640224185918207e-222 6.988853694800881e+53): 0
* [misc]none:  (8.020946800258914e+259 5.4573047045195024e-18 1.5620131789322965e+234): 6
* [misc]none:  (-4.049074478946118e-77 1.2262625442234699e+279 5.262301821599218e+80): 6
* [misc]none:  (4.823365626683601e+117 -2.061389991312035e-12 2.912310429956012e+273): 6
* [misc]none:  (-1.7640250143578745e-208 1.1820786822761163e-255 7.775470292479081e+175): 6
* [misc]none:  (4.569607436817623e+258 4.410088402896566e-89 4.38785158525003e+126): 6
* [misc]none:  (-1.1326073199255272e-17 -2.0950399808911637e-234 2.6785433116002927e+296): 6
* [misc]none:  (203680633269.7002 1.1385538246164829e+106 952982389.222488): 0
* [misc]none:  (-6.6024532053605815e-155 1.174754729152001e+60 1.8079494856159447e+244): 6
* [misc]none:  (1.5535754229225927e-52 -7.774735580850432e-16 6.351628592293171e+295): 6
* [misc]none:  (2.609882903471907e+251 3.6080385265254976e-151 2.6772990165462416e+124): 6
* [misc]none:  (1.0746678176095088e-234 -4.557500074240233e-282 187074289496173.38): 0
* [misc]none:  (-3.1579132029659514e-210 1.6794702081432874e-14 1.4275894605763061e+44): 0
* [misc]none:  (6.9601698360961224e-09 2.6681428924090298e-138 2.1450958650060784e+285): 6
* [misc]none:  (1.3843502503391346e+27 5.372524020185496e-166 2.499775250521039e+247): 6
* [misc]none:  (4.449997800899398e-293 1.6938187756820604e+145 1.8842589777967632e+243): 6
* [misc]none:  (44038832.075552516 3.566000543698895e+52 7.171386182480909e+45): 1
* [misc]none:  (4.933162310607602e+199 -6.44613550013419e-276 6.654561584313526e+147): 6
* [misc]none:  (1.9807263142931955e-16 -2.8401652789735274e-278 9.117697461855357e+190): 6
* [misc]none:  (-3.145359477805762e-141 6.442309294430525e+173 3.911739378875668e+73): 0
* [misc]none:  (-2.1616637202156412e-61 -9.020403448851154e-153 2.1594672389327594e+214): 6
* [misc]none:  (24970.13544383595 -6.816341009002564e-179 14.21341521600583): 4
* [misc]none:  (27686123884477.016 -7.107382025749163e-63 3.531776440209935e+48): 0
* [misc]none:  (2.1488993586681348e-159 -3.368900319860853e-240 6.07652996877102e+261): 6
* [misc]none:  (-9.193149319353737e-284 -1.4329289420203548e-144 7.158688621227733e+293): 6
* [misc]none:  (1.9915318668999523e+135 5.116623338503019e-52 5.037973317371696e+235): 6
* [misc]none:  (1.4502247447560108e-284 1.045184913604601e-182 6.256213550843251e+245): 6
* [misc]none:  (1.6581501455993052e-249 1.0098343201807392e+58 3.974850836742492e+160): 6
* [misc]none:  (5.359522385225087e-17 9.631125531990442e+126 4.9963227045034064e+306): 6
* [misc]none:  (1.0470008468403685e-246 -7.321430720581151e-120 3.44616195897378): 2
* [misc]none:  (4.5494749547293894e+23 2.5934445825267073e+163 3.0692821076440968e+296): 6
* [misc]none:  (-3.3914348908460495e-109 -1.5509048253444886e-148 1.0385558163432079e+152): 0
* [misc]none:  (8.00165923401045e-66 1.7533824141038125e-178 2.7353222116576574e+177): 6
* [misc]none:  (3.805943330595135e-254 9.123011853910263e+44 4.210465722150913e+69): 0
* [misc]none:  (-1.3254771861260559e-104 -1.292900155919676e-236 1.0440118933152834e+123): 3
* [misc]none:  (3.12158804530071e+41 9.818770893805366e-294 8.510998693900968e+41): 3
* [misc]none:  (3.1836811406313805e+60 -0.10087727102964376 3.813958412290515e+79): 0
* [misc]none:  (9.889513937615731e-145 -5.590630690074936e-166 1.977490209549157e+301): 6
* [misc]none:  (-1.6533225636179903e-180 37337.320175469154 1.1193540138545345e+158): 6
* [misc]none:  (2.6055328539739914e-306 -2.9545645916499418e-170 1.4359855041683906e+202): 6
* [misc]none:  (9.539352894866598e+249 -8.04228175772837e-27 2.358936251112734e+140): 6
* [misc]none:  (4.8619525749556124e-05 8.520313347804456e+73 5.921209533784775e+36): 0
* [misc]none:  (5.82731247855455e+287 4.3289628743592093e-144 6248515339128.485): 0
* [misc]none:  (1.7668481773336874e-267 1.3736235425287786e+211 1.3286273141951025e+207): 6
* [misc]none:  (2.4643143096140816e-274 -9.739429854246803e-13 1.013950335812854e+41): 0
* [misc]none:  (1.8788228914052366e-292 -1.2629346812420038e-144 2.2979250887317962e+135): 0
* [misc]none:  (7.548224612594704e-124 6.958402621710808e+169 1.8949558472984458e+155): 6
* [misc]none:  (2.3156920603211967e-59 2.310114459376729e+220 27096833033.968227): 0
* [misc]none:  (9.584449127764077e-84 9.179007253451924e+217 3.115953922220241e+108): 6
* [misc]none:  (-1.554586385281288e-134 1.1235180457714086e-164 6.756613440973484e+183): 6
* [misc]none:  (1.252920585354742e-111 -1.612813391989522e-98 2.82458216192173e+180): 6
* [misc]none:  (2.587094630854195e-252 1.6478667753501928e+209 2.9294741564127164e+215): 6
* [misc]none:  (2.7197060997990604e-301 -7.512022874005759e-67 2.581539465742801e+146): 0
* [misc]none:  (6.1085755275542164e-133 -2.2453235940321017e-234 2.8911719724863878e+181): 6
* [misc]none:  (-7.841644174990607e-84 2.2416885151737616e+280 3.448896273593283e+293): 6
* [misc]none:  (6.294490530476209e-152 -7.96914683288008e-59 13.18177790759423): 0
* [misc]none:  (4490065180288.452 -2.691706877057518e-61 2.291402813334407e+291): 6
* [misc]none:  (1.8567767304857208e-249 -3.5001550134506567e-133 3.3755177759822725e+251): 6
* [misc]none:  (1.9596729859782887e+184 6.510946721168425e+307 1.7977782521934436e+190): 6
* [misc]none:  (49418303537.143555 1.5549059942929737e-262 5.983631573449565e+155): 6
* [misc]none:  (1.967365566190736e+25 4.5554322097135184e-36 3.5113653346731705e+243): 6
* [misc]none:  (1.2788133902227692e+25 1.3412667419122165e-32 3.719108543298996e+128): 0
* [misc]none:  (-6.809363502494652e-65 5.671499175405204e+199 1.0663318092770615e+179): 6
* [misc]none:  (1765.6866643983528 1.3494492441629376e-165 7.042541852533202e+182): 6
* [misc]none:  (9.024107812091202e-52 1.7057199119127006e-15 1.194686244039865e+183): 6
* [misc]none:  (3.996776221489111e+43 9.658515925278439e+280 8.076543552597907e+40): 6
* [misc]none:  (-4.454714498759767e-277 1.0159731345923751e+130 2.4728297816312715e+153): 0
* [misc]none:  (8.259278441216712e+33 1.7471268968117213e-83 1.9278693234284615e+176): 6
* [misc]none:  (-8.21024395333123e-69 1.6450717007212436e+112 4.098953990911491e+297): 6
* [misc]none:  (1.2444896651494804e+200 2.7127086163349596e-70 1.9019982806516902e+71): 0
* [misc]none:  (3.0108255598540554e+76 -1.55745588694803e-132 2.8064231899775334e+261): 6
* [misc]none:  (1.2045929885723188e+178 6.432182976626504e-10 4.278154960051001e+232): 6
* [misc]none:  (1.2180185001201646e-270 -3.012875370022519e-194 3.893071659444556e+16): 0
* [misc]none:  (4.059911323224399e+225 2.7985499818577145e+258 2.143487317848182e+225): 6
* [misc]none:  (3.8824121816790855e-63 1.0898843537542708e-85 4.7988849445190723e+145): 0
* [misc]none:  (8.021926865882946e-42 -1.8256222624375255e-246 4.337426308582695e+90): 0
* [misc]none:  (1.718036708340669e-275 -7.5788680879491e-25 653904204661.0265): 0
* [misc]none:  (-3.044352249740497e-199 -1.1631107528051094e-17 8.292536794732138e+63): 0
* [misc]none:  (-2.6154846313950322e-129 8.020473122199103e-167 2.4287020836844806e+179): 6
* [misc]none:  (-8.02505523653727e-39 -0.00019516617271093958 2.9871501129840687e+276): 6
* [misc]none:  (-9.7018336882587e-269 -1.1044793372389576e-22 9.006631788005207e+274): 6
* [misc]none:  (2.9863660961743964e+243 8.0660085380266e+179 4.286074981496449e+193): 6
* [misc]none:  (-2.727400752731622e-283 -1.4925128310792255e-104 1.8098572227161885e+114): 1
* [misc]none:  (1.9119202441171818e-224 1.2438967921582803e+63 1.4671881440527919e+110): 0
* [misc]none:  (2.0485165194483747e+168 -1.540225542218951e-112 673114908567.9249): 0
* [misc]none:  (1.7643236429283854e-230 4.3342648208290876e+113 4.946615499815182e+64): 0
* [misc]none:  (1.1428087056624415e+187 -2.5075622959852353e-308 3.0274143168934988e+29): 0
* [misc]none:  (2.8559424393588624e+163 9.20868362029965e-253 4.603487222683434e+97): 0
* [misc]none:  (3.924888803122473e-35 -4.6109145208861094e-132 3.8801889929746705e+31): 1
* [misc]none:  (3.176557787419598e-13 1.0054321145448833e+281 1.3580103740461713e+115): 6
* [misc]none:  (2.8675552390257454e+196 -3.5896598501404987e-155 3.7359060523908745e+24): 0
* [misc]none:  (9.057360862705882e+59 5.9169112239519925e-199 1.765486661381807e+177): 6
* [misc]none:  (5.127156624586943e-307 9.557327874959092e+245 2.311733421335347e+51): 0
* [misc]none:  (1.2128869900384991e-193 3.536099293070918e+147 9.34884698905444e+193): 6
* [misc]none:  (-1.2490880211031103e-195 -2.7159210455408482e-303 5.626718637823938e+182): 6
* [misc]none:  (2.608826148441705e-159 1.0679090184892389e+161 1.2192221662740518e+268): 6
* [misc]none:  (1.1269187071107412e-84 1.0690806726905466e+95 5.2775294135682325e+51): 0
* [misc]none:  (6199.381244908606 1.7281128431783482e+157 4.8845463597394235e+147): 0
* [misc]none:  (-2.3633944703404475e-231 4.5313944249444605e-153 4.498553475536348e+37): 0
* [misc]none:  (1.1928590972821558e-117 -3.7617223057080534e-120 1.851871016234524e+203): 6
* [misc]none:  (7.121593325689763e+165 2.0692000745034384e+257 1.8399358337867285e+236): 6
* [misc]none:  (-1.3184000220800764e-62 9.74311301029906e-85 6.940029952821491e+120): 0
* [misc]none:  (9.497331968426095e-108 -5.197482799116401e-241 1.294544660798259e+234): 6
* [misc]none:  (1.340127057706069e+252 1.3529947592131492e+110 7.711090927517874e+115): 6
* [misc]none:  (9.946493258234889e+156 -9.91146120751357e-60 5.205925158073816e+226): 6
* [misc]none:  (-2.860883508949343e-202 6.68483023034965e+112 1.3620846760431477e+138): 0
* [misc]none:  (9.87194947505541e-28 5.040218416798045e-225 2.150034153121283e+213): 6
* [misc]none:  (-1.3636791142875324e-291 -5.939092476866672e-275 5.083256211820847e+147): 0
* [misc]none:  (1.7501334670503387e-184 3.3584429702369534e+102 4.838649716290781e+172): 6
* [misc]none:  (4.6587077209109915e-86 2.920861916405843e-219 1.5463781181563689e+100): 0
* [misc]none:  (1.5013627453801125e-19 1.005820461272061e+164 4.546534183988381e+112): 0
* [misc]none:  (2.3263731812384457e+89 -4.031367716026771e-257 5.560308939645345e+249): 6
* [misc]none:  (-1.0765060682560458e-246 -4.6277869750510783e-144 3.795038096706946e+182): 6
* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 6
* [misc]none:  (6.116147427060389e-32 9.511600252423525e+170 2.2725679593631724e+298): 6
* [misc]none:  (3.1672292868847214e-144 653491334.4246826 1.432430706656674e+219): 6
* [misc]none:  (7.131291251326984e+48 1.2653668806469008e-92 3.266757899419237e+198): 6
* [misc]none:  (6.458691847508881e+69 829599168773.0343 18086589454752.758): 5
* [misc]none:  (-3.2351325618271345e-42 4.261425297233509e+153 1.5233351795557236e+24): 0
* [misc]none:  (1.0225698962758457e-94 1.784550664801416e-298 2.423998462399398e+206): 6
* [misc]none:  (1.1442850064000795e+99 -1.4800207552124702e-256 2.4296073503142346e+68): 0
* [misc]none:  (3.014484695409733e+57 3.3171609772172066e-289 1.3430004585363498e+134): 3
* [misc]none:  (1.501266220429651e-263 -1.2530485793211995e-269 7.407720043891076e+155): 6
* [misc]none:  (-2.2593763942192146e-129 4.0091412779934875e-238 6.607171502367103e+169): 6
* [misc]none:  (6.995720386300373e+104 3.8384340182153484e-49 9.620625619460696e+213): 6
* [misc]none:  (6.758168963092835e+164 -1.923286656584035e-47 7.53886550553743e+200): 6
* [misc]none:  (1.1425963691426196e-115 2.476068903381355e+223 2.2213322779046326e+36): 0
* [misc]none:  (1.06655378325662e+185 3.69177291953895e+84 2.3240626459217843e+149): 6
* [misc]none:  (-3.905589656930878e-252 1.2612168896987016e+303 1.0962460914940638e+42): 6
* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 5
* [misc]none:  (5.484661529229837e+28 -2.174324126133859e-155 1.9635796742820443e+297): 6
* [misc]none:  (2.2798597413137147e+148 5.187162090035784e-186 2.5872250313485287e+98): 0
* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
* [misc]none:  (-0.005306782953594571 1.0847318041964328e-07 1.2280579168928925e+65): 0
* [misc]none:  (1.412798342522468e+164 -0.16704113898223302 1.9405216656894077e+231): 6
* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
* [misc]none:  (5.703723021316481e-184 -3.080840759537892e-140 8.43842290851504e+114): 0
* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 6
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 3
* [misc]none:  (3.771679078669615e+248 3.477794628051976e+302 1.397330850998359e+148): 6
* [misc]none:  (-1.3659393694755206e-271 5.835710351121424e-18 1.2303409174360135e+260): 6
* [misc]none:  (-4.433528855674276e-143 -3.126782663481013e-63 1.5951432041053418e+27): 0
* [misc]none:  (-1.2274584135804626e-159 4.688132673155381e+234 1.1056347807542906e+178): 6
* [misc]none:  (-9.408270833530164e-153 9.343476744547095e+193 3.215066426288478e+182): 6
* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 1
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 6
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 6
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 6
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 0
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 6
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 6
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 6
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 6
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 6
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 6
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 6
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 6
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 6
* [misc]none:  All alt indexes
* [misc]none:  (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 0
* [misc]none:  (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 1
* [misc]none:  (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 2
* [misc]none:  (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))): 3
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))): 4
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))): 5
* [misc]none:  (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))): 6
* [misc]none:  (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))): 7
* [misc]none:  (λ (alpha beta i) 0): 8
* [misc]none:  Best alt per point
* [misc]none:  (-3.790895514246342e-173 4.1494837380050146e-221 1.3401094857358835e+256): 8
* [misc]none:  (574028745.0128875 1.0137090789044384e-188 9.215015752968636e+151): 0
* [misc]none:  (7.089560187579744e+120 2.33476215923406e+79 4.818532677024793e+46): 0
* [misc]none:  (-6.144018011422617e-93 1.0067245465567252e+99 1.9000482008142766e+137): 0
* [misc]none:  (5.242814561910362e-67 5.256732380907702e+222 7.604889698835023e+215): 8
* [misc]none:  (2.1151736896543434e+113 1.5810726680079353e-306 4.198927521746705e+252): 8
* [misc]none:  (5.61934277918027e+174 2.7945548512777507e-93 8.596129346916678e+204): 8
* [misc]none:  (-4.080831534294507e-88 1.402410735611396e-279 3.476204105958582e+266): 8
* [misc]none:  (4.255354559505271e-229 555031477569.7085 3.299744586399722e+213): 8
* [misc]none:  (3.7973607488961015e+232 1.6373878856164477e-262 6.879985829801786e+55): 0
* [misc]none:  (6.766050376169892e+154 4.2022977025573256e+223 2.182590077894994e+226): 8
* [misc]none:  (6.735844817040533e-195 3.4865714643101984e+34 1.7357028950249683e+168): 8
* [misc]none:  (-1.1961798405282767e-173 1.2796527454892258e+245 3.4022559315451535e+93): 8
* [misc]none:  (4.4470255968472246e-241 -1.71025345910351e-270 7.068559296425852e+56): 0
* [misc]none:  (7.190485440730506e-86 8.537836348446779e-200 1.6607770721893586e+152): 1
* [misc]none:  (1.9072763343588818e+257 8.042811165456128e-282 2.8647980908948046e+186): 8
* [misc]none:  (-4.439394655811471e-264 7.319785109107187e-305 4.385881120320383e+222): 8
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* [misc]none:  (1.340127057706069e+252 1.3529947592131492e+110 7.711090927517874e+115): 8
* [misc]none:  (9.946493258234889e+156 -9.91146120751357e-60 5.205925158073816e+226): 8
* [misc]none:  (-2.860883508949343e-202 6.68483023034965e+112 1.3620846760431477e+138): 0
* [misc]none:  (9.87194947505541e-28 5.040218416798045e-225 2.150034153121283e+213): 8
* [misc]none:  (-1.3636791142875324e-291 -5.939092476866672e-275 5.083256211820847e+147): 0
* [misc]none:  (1.7501334670503387e-184 3.3584429702369534e+102 4.838649716290781e+172): 8
* [misc]none:  (4.6587077209109915e-86 2.920861916405843e-219 1.5463781181563689e+100): 0
* [misc]none:  (1.5013627453801125e-19 1.005820461272061e+164 4.546534183988381e+112): 0
* [misc]none:  (2.3263731812384457e+89 -4.031367716026771e-257 5.560308939645345e+249): 8
* [misc]none:  (-1.0765060682560458e-246 -4.6277869750510783e-144 3.795038096706946e+182): 8
* [misc]none:  (-4.3148407952513224e-91 6.623462012190179e-232 8.267656975543928e+86): 0
* [misc]none:  (1.9176515492974495e+94 6.116489936842988e-05 3.9487011166168114e+188): 8
* [misc]none:  (6.116147427060389e-32 9.511600252423525e+170 2.2725679593631724e+298): 8
* [misc]none:  (3.1672292868847214e-144 653491334.4246826 1.432430706656674e+219): 8
* [misc]none:  (7.131291251326984e+48 1.2653668806469008e-92 3.266757899419237e+198): 8
* [misc]none:  (6.458691847508881e+69 829599168773.0343 18086589454752.758): 6
* [misc]none:  (-3.2351325618271345e-42 4.261425297233509e+153 1.5233351795557236e+24): 0
* [misc]none:  (1.0225698962758457e-94 1.784550664801416e-298 2.423998462399398e+206): 8
* [misc]none:  (1.1442850064000795e+99 -1.4800207552124702e-256 2.4296073503142346e+68): 2
* [misc]none:  (3.014484695409733e+57 3.3171609772172066e-289 1.3430004585363498e+134): 2
* [misc]none:  (1.501266220429651e-263 -1.2530485793211995e-269 7.407720043891076e+155): 8
* [misc]none:  (-2.2593763942192146e-129 4.0091412779934875e-238 6.607171502367103e+169): 8
* [misc]none:  (6.995720386300373e+104 3.8384340182153484e-49 9.620625619460696e+213): 8
* [misc]none:  (6.758168963092835e+164 -1.923286656584035e-47 7.53886550553743e+200): 8
* [misc]none:  (1.1425963691426196e-115 2.476068903381355e+223 2.2213322779046326e+36): 0
* [misc]none:  (1.06655378325662e+185 3.69177291953895e+84 2.3240626459217843e+149): 8
* [misc]none:  (-3.905589656930878e-252 1.2612168896987016e+303 1.0962460914940638e+42): 8
* [misc]none:  (6.510635098265909e-206 -7.463393287380793e-155 6.199093465490867): 0
* [misc]none:  (542.0686332817562 5.490134813098459e+69 6.631571293971592e+61): 6
* [misc]none:  (5.484661529229837e+28 -2.174324126133859e-155 1.9635796742820443e+297): 8
* [misc]none:  (2.2798597413137147e+148 5.187162090035784e-186 2.5872250313485287e+98): 0
* [misc]none:  (-1.61902567526435e-121 -1.0988352040159728e-190 4.600072269723756e+139): 0
* [misc]none:  (-0.005306782953594571 1.0847318041964328e-07 1.2280579168928925e+65): 0
* [misc]none:  (1.412798342522468e+164 -0.16704113898223302 1.9405216656894077e+231): 8
* [misc]none:  (-9.681247210093658e-60 -2.6887169229904737e-45 1.9107412663367018e+67): 0
* [misc]none:  (5.703723021316481e-184 -3.080840759537892e-140 8.43842290851504e+114): 0
* [misc]none:  (4.6809768516332455e-303 -9.864692814634542e-211 6.793757632630594e+152): 0
* [misc]none:  (1.8118305645636994e-142 9.124825804391003e-187 8.366969561423175e+206): 8
* [misc]none:  (2.145728989816029e-36 -4.649059850779656e-231 119107761.97566517): 2
* [misc]none:  (3.771679078669615e+248 3.477794628051976e+302 1.397330850998359e+148): 8
* [misc]none:  (-1.3659393694755206e-271 5.835710351121424e-18 1.2303409174360135e+260): 8
* [misc]none:  (-4.433528855674276e-143 -3.126782663481013e-63 1.5951432041053418e+27): 0
* [misc]none:  (-1.2274584135804626e-159 4.688132673155381e+234 1.1056347807542906e+178): 8
* [misc]none:  (-9.408270833530164e-153 9.343476744547095e+193 3.215066426288478e+182): 8
* [misc]none:  (2.804470291688961e-238 -1.863099561389787e-270 1.0964964128743876e+132): 2
* [misc]none:  (6.699411554998623e-40 7.079242312478436e-107 7.022660665889197e+210): 8
* [misc]none:  (6.988079313782652e-163 9.870683448393636e+114 6.706834005304694e+221): 8
* [misc]none:  (4.2842292992954537e+245 -1.5503025271013527e-115 8.27401742281544e+288): 8
* [misc]none:  (8.316416889727782e-215 4.7318042784991456e-27 5.573413113376966e+51): 0
* [misc]none:  (-1.5875533136338471e-267 -4.70438137894594e-89 5599.781526641116): 2
* [misc]none:  (2.684526482327983e-232 -7.774874865522803e-190 5.1345575379285465e+115): 0
* [misc]none:  (2.0958336077924882e-153 4.887677357767741e+254 1.2988904894595683e+20): 0
* [misc]none:  (2.316621944846724e-111 2.09653698106767e-262 1.4950906291585327e+220): 8
* [misc]none:  (7.474917596544361e+278 -7.098056735758451e-212 3.090118013906898e+234): 8
* [misc]none:  (-6.368614735897369e-260 1.2241811337292062e-103 9.217511084575697e+175): 8
* [misc]none:  (1.0805649337557618e-88 8.877506427700564e-241 4.663790597208695e+67): 0
* [misc]none:  (-2.392636432237161e-155 6.1327143137856814e-83 1.0744803619786216e+179): 8
* [misc]none:  (-2.5142609375268097e-202 2.899975567215899e-149 9.985183879878163e+249): 8
* [misc]none:  (6.075205353612431e+285 1.4122410515174311e-39 9.854325086192131e+51): 8
* [misc]none:  (4.703954005969249e-45 3.4808928755923635e+144 2.4555634495649393e+66): 0
* [misc]none:  (1.1793398541940632e+206 -5.659676954890763e-50 2.5574353828366165e+256): 8
* [misc]none:  (2.9464087958336274e-149 3.1934468401503415e+88 2.1133817079764385e+307): 8
* [misc]none:  (4.4824151194885295e-235 6.2497206761130815e+88 1.8951828752848836e+130): 0
* [misc]none:  (5.321287534358741e+150 -1.415919495127402e-245 7.455496235854279e+241): 8
* [misc]none:  Picked alt (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 alpha) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))) into (* 1/2 (* (+ (* 2 alpha) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 beta) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (pow beta 2) 1.0)) into (sqrt (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (* 2 beta) (* 2 (sqrt (- (pow beta 2) 1.0)))) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 beta) (* 4 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 beta) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 4 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 2 beta) (- (pow beta 2) 1.0))))) into (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -1 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]backup-simplify:  Simplify (* 4 beta) into (* 4 beta)
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (* (* 4 beta) (sqrt (/ 1 (- (pow beta 2) 1.0)))) into (* 4 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta))
* [misc]backup-simplify:  Simplify (* 1/2 (* 4 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta))) into (* 2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (- 4 (pow (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) 2) (+)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 2 beta) (- (pow beta 2) 1.0))))) into (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -1 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]taylor:  Taking taylor expansion of (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 2) 1.0)) into (/ (pow beta 2) (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))) into (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))) 0) into (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))) into (- (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))
* [misc]backup-simplify:  Simplify (+ 4 (- (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))) into (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))))) into (* 1/2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 4) into (* 4 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (* 4 (sqrt -1.0))) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (* 2 (sqrt -1.0)) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 1) (* 0 0)) into 4
* [misc]backup-simplify:  Simplify (+ 0 4) into 4
* [misc]backup-simplify:  Simplify (+ (* (* 4 beta) (* -1 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))) (* 4 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (- (* 4 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 4 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 4 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 4 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))) (* 0 (* 4 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)))) into (- (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow -1.0 3))) into (sqrt (/ 1 (pow -1.0 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow -1.0 3)) (/ 0 (pow (- 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow -1.0 3))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (* 2 (sqrt -1.0)) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (+ (* 2 (sqrt -1.0)) 0) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (* 2 (sqrt -1.0)) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (+ (* (* 2 (sqrt -1.0)) (* 1 (* alpha i))) (+ (* (* 2 (sqrt -1.0)) (pow (* 1 (* 1 i)) 2)) (sqrt (- 1.0)))) into (+ (* 2 (* (pow i 2) (sqrt -1.0))) (+ (* 2 (* alpha (* i (sqrt -1.0)))) (sqrt (- 1.0))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 alpha))) (* (+ (* 2 (/ 1 i)) (/ 1 alpha)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ 0 4) into 4
* [misc]backup-simplify:  Simplify (* 1/4 4) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* 0 2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]taylor:  Taking taylor expansion of -0.25 in alpha
* [misc]backup-simplify:  Simplify -0.25 into -0.25
* [misc]backup-simplify:  Simplify (* 4 (/ 1 beta)) into (/ 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4 beta) 0) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (* 4 (/ 1 beta))) (* 0 4)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1 (* 1 (/ 1 (/ 1 i))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) 1))) (* 1 (* (/ 1 (/ 1 beta)) (* 1 1))))) into (+ beta (+ alpha (* 2 i)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ 0 4) into 4
* [misc]backup-simplify:  Simplify (* 1/4 4) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 beta) (/ 1 alpha))) (- (+ (/ 1 beta) (/ 1 alpha)))) (* 0 -2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]taylor:  Taking taylor expansion of -0.25 in alpha
* [misc]backup-simplify:  Simplify -0.25 into -0.25
* [misc]backup-simplify:  Simplify (* 4 (/ 1 beta)) into (/ 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4 beta) 0) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (* 4 (/ 1 beta))) (* 0 4)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1 (* 1 (/ 1 (/ 1 (- i)))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) 1))) (* 1 (* (/ 1 (/ 1 (- beta))) (* 1 1))))) into (- (+ beta (+ alpha (* 2 i))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 alpha) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))) into (* 1/2 (* (+ (* 2 alpha) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 beta) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (pow beta 2) 1.0)) into (sqrt (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (* 2 beta) (* 2 (sqrt (- (pow beta 2) 1.0)))) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)
* [misc]taylor:  Taking taylor expansion of (sqrt (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 beta) (* 4 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 beta) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* 4 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 2 beta) (- (pow beta 2) 1.0))))) into (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -1 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]backup-simplify:  Simplify (* 4 beta) into (* 4 beta)
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (* (* 4 beta) (sqrt (/ 1 (- (pow beta 2) 1.0)))) into (* 4 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta))
* [misc]backup-simplify:  Simplify (* 1/2 (* 4 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta))) into (* 2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (- 4 (pow (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) 2) (+)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 2 beta) (- (pow beta 2) 1.0))))) into (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -1 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]taylor:  Taking taylor expansion of (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (- (pow beta 2) 1.0)) into (/ (pow beta 2) (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 8 in alpha
* [misc]backup-simplify:  Simplify 8 into 8
* [misc]taylor:  Taking taylor expansion of (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))) into (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))) 0) into (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))) into (- (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))
* [misc]backup-simplify:  Simplify (+ 4 (- (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))) into (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))))) into (* 1/2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of 1/2 in beta
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of (- 4 (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 4) into (* 4 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (* 1/2 (* 4 (sqrt -1.0))) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (* 2 (sqrt -1.0)) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 1) (* 0 0)) into 4
* [misc]backup-simplify:  Simplify (+ 0 4) into 4
* [misc]backup-simplify:  Simplify (+ (* (* 4 beta) (* -1 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))) (* 4 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (- (* 4 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 4 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 4 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 4 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))) (* 0 (* 4 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)))) into (- (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0)))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow -1.0 3))) into (sqrt (/ 1 (pow -1.0 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow -1.0 3)) (/ 0 (pow (- 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow -1.0 3))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (* 2 (sqrt -1.0)) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (+ (* 2 (sqrt -1.0)) 0) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (* 2 (sqrt -1.0)) into (* 2 (sqrt -1.0))
* [misc]backup-simplify:  Simplify (+ (* (* 2 (sqrt -1.0)) (* 1 (* alpha i))) (+ (* (* 2 (sqrt -1.0)) (pow (* 1 (* 1 i)) 2)) (sqrt (- 1.0)))) into (+ (* 2 (* (pow i 2) (sqrt -1.0))) (+ (* 2 (* alpha (* i (sqrt -1.0)))) (sqrt (- 1.0))))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 alpha))) (* (+ (* 2 (/ 1 i)) (/ 1 alpha)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ 0 4) into 4
* [misc]backup-simplify:  Simplify (* 1/4 4) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* 0 2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]taylor:  Taking taylor expansion of -0.25 in alpha
* [misc]backup-simplify:  Simplify -0.25 into -0.25
* [misc]backup-simplify:  Simplify (* 4 (/ 1 beta)) into (/ 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4 beta) 0) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (* 4 (/ 1 beta))) (* 0 4)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1 (* 1 (/ 1 (/ 1 i))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) 1))) (* 1 (* (/ 1 (/ 1 beta)) (* 1 1))))) into (+ beta (+ alpha (* 2 i)))
* [misc]approximate:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ 0 4) into 4
* [misc]backup-simplify:  Simplify (* 1/4 4) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 beta) (/ 1 alpha))) (- (+ (/ 1 beta) (/ 1 alpha)))) (* 0 -2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]taylor:  Taking taylor expansion of -0.25 in alpha
* [misc]backup-simplify:  Simplify -0.25 into -0.25
* [misc]backup-simplify:  Simplify (* 4 (/ 1 beta)) into (/ 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (/ 4 beta) 0) into (* 4 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (* 4 (/ 1 beta))) (* 0 4)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (+ (* 2 (* 1 (* 1 (/ 1 (/ 1 (- i)))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) 1))) (* 1 (* (/ 1 (/ 1 (- beta))) (* 1 1))))) into (- (+ beta (+ alpha (* 2 i))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 alpha) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))) into (* 1/2 (* (+ (* 2 alpha) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) into (* (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (pow i 2) (* alpha i)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 beta) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (* (+ (pow i 2) (* beta i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 beta) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (* (+ (pow i 2) (* beta i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* (+ (pow i 2) (* beta i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (pow i 2) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (- (pow beta 2) 1.0)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (- (/ (+ beta i) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* (* (+ (pow i 2) (* beta i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) into (- (+ (* i (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (* beta (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* (* (pow beta 2) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* i (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (* beta (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* (* (pow beta 2) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* i (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (* beta (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* i (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]taylor:  Taking taylor expansion of (* beta (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (pow beta 2) 1.0))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* (* (pow beta 2) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (pow beta 2) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 3)) (/ (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow (- (pow beta 2) 1.0) 3))))) into (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4))))
* [misc]backup-simplify:  Simplify (/ (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 3)) (/ (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow (- (pow beta 2) 1.0) 3))))) into (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4))))
* [misc]backup-simplify:  Simplify (/ (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 3)) (/ (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow (- (pow beta 2) 1.0) 3))))) into (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4))))
* [misc]backup-simplify:  Simplify (/ (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (- (pow beta 2) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* beta (sqrt (/ 1 (- (pow beta 2) 1.0)))) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)
* [misc]backup-simplify:  Simplify (+ 0 (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) 0) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))) (* beta (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (- (pow beta 2) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (sqrt -1.0) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 0) (+ (* 1 1) (* 0 (+ beta (* 2 i))))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (pow (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) 2) (+)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (- 1 (+ (* 4 (/ (* beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow beta 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* (* (+ (pow i 2) (* beta i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (/ (* 1/2 (* (- 1 (+ (* 4 (/ (* beta i) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (+ (* 4 (/ (pow i 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) (/ (pow beta 2) (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (* (- (+ (* i (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) (* beta (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (+ (* (* (pow beta 2) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) (+ (* 3 (* (* beta (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* 2 (* (pow i 3) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))) (/ (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))) into (- (+ (* 3/2 (* (* (pow beta 3) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 6 (* (pow i 4) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 12 (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (* 15/2 (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))) (+ (* 7/2 (* (* beta i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 5/2 (* (pow i 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* (pow beta 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3/2 (* (* (pow beta 3) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 6 (* (pow i 4) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 12 (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (* 15/2 (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))) (+ (* 7/2 (* (* beta i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 5/2 (* (pow i 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* (pow beta 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3/2 (* (* (pow beta 3) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 6 (* (pow i 4) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 12 (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (* 15/2 (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3/2 (* (* (pow beta 3) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of 3/2 in i
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (* (* (pow beta 3) i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 5)) into (/ 1 (pow (- (pow beta 2) 1.0) 5))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 5)) (/ (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow (- (pow beta 2) 1.0) 5))))) into (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6))))
* [misc]backup-simplify:  Simplify (/ (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))))) into (* -10 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 7))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (* (pow i 4) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (+ (* 12 (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (* 15/2 (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (* (pow i 4) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (* (pow i 4) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 5)) into (/ 1 (pow (- (pow beta 2) 1.0) 5))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 5)) (/ (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow (- (pow beta 2) 1.0) 5))))) into (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6))))
* [misc]backup-simplify:  Simplify (/ (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))))) into (* -10 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 7))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) (* 15/2 (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (* (* beta (pow i 3)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 5)) into (/ 1 (pow (- (pow beta 2) 1.0) 5))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 5)) (/ (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow (- (pow beta 2) 1.0) 5))))) into (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6))))
* [misc]backup-simplify:  Simplify (/ (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))))) into (* -10 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 7))) beta))
* [misc]taylor:  Taking taylor expansion of (* 15/2 (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))))) in i
* [misc]taylor:  Taking taylor expansion of 15/2 in i
* [misc]backup-simplify:  Simplify 15/2 into 15/2
* [misc]taylor:  Taking taylor expansion of (* (* (pow beta 2) (pow i 2)) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 5) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 5 (log (- (pow beta 2) 1.0))) into (* 5 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 5 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 5)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 5)) into (/ 1 (pow (- (pow beta 2) 1.0) 5))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 5 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 20 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 5 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 20 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 5)) (/ (* 20 (* (pow (- (pow beta 2) 1.0) 4) beta)) (pow (- (pow beta 2) 1.0) 5))))) into (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6))))
* [misc]backup-simplify:  Simplify (/ (- (* 20 (/ beta (pow (- (pow beta 2) 1.0) 6)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))))) into (* -10 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 7))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 7/2 (* (* beta i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (+ (* 5/2 (* (pow i 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* (pow beta 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 7/2 (* (* beta i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 7/2 in i
* [misc]backup-simplify:  Simplify 7/2 into 7/2
* [misc]taylor:  Taking taylor expansion of (* (* beta i) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 3)) (/ (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow (- (pow beta 2) 1.0) 3))))) into (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4))))
* [misc]backup-simplify:  Simplify (/ (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (* (pow i 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) (* (pow beta 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 5/2 (* (pow i 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))))) in i
* [misc]taylor:  Taking taylor expansion of 5/2 in i
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (* (pow i 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 3)) (/ (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow (- (pow beta 2) 1.0) 3))))) into (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4))))
* [misc]backup-simplify:  Simplify (/ (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* beta i)) (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 4 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 3)) into (/ 1 (pow (- (pow beta 2) 1.0) 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) into (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 4 beta) (* 0 0)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (+ 0 (* 4 beta)) into (* 4 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 beta) 0) into (* 4 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 4 beta)) 1)) (pow (- (pow beta 2) 1.0) 1)))) 1) into (* 4 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 3 (* 4 (/ beta (- (pow beta 2) 1.0)))) (* 0 (log (- (pow beta 2) 1.0)))) into (* 12 (/ beta (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- (pow beta 2) 1.0)))) (+ (* (/ (pow (* 12 (/ beta (- (pow beta 2) 1.0))) 1) 1)))) into (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow (- (pow beta 2) 1.0) 3)) (/ (* 12 (* (pow (- (pow beta 2) 1.0) 2) beta)) (pow (- (pow beta 2) 1.0) 3))))) into (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4))))
* [misc]backup-simplify:  Simplify (/ (- (* 12 (/ beta (pow (- (pow beta 2) 1.0) 4)))) (* 2 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5)))) into 0
* [misc]backup-simplify:  Simplify (* 3/2 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))) into 0
* [misc]backup-simplify:  Simplify (* 7/2 0) into 0
* [misc]backup-simplify:  Simplify (* (pow beta 2) (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3)))) into (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))
* [misc]backup-simplify:  Simplify (+ 0 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) into (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))
* [misc]backup-simplify:  Simplify (+ 0 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) into (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))
* [misc]backup-simplify:  Simplify (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) into (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) into (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow -1.0 3))) into (sqrt (/ 1 (pow -1.0 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow -1.0 3)) (/ 0 (pow (- 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow -1.0 3))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (+ (* 0 (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))) (* 1 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (sqrt (/ 1 (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* beta (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))) (* 0 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (- (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ (sqrt (/ 1 (- (pow beta 2) 1.0))) (- (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))) into (- (sqrt (/ 1 (- (pow beta 2) 1.0))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ (* 0 (* -6 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 5))) beta))) (* (pow beta 2) (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))))) into (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)) 0) into (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))
* [misc]backup-simplify:  Simplify (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) into (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ (- (sqrt (/ 1 (- (pow beta 2) 1.0))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) (- (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) into (- (sqrt (/ 1 (- (pow beta 2) 1.0))) (* 3 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (sqrt (/ 1 (- (pow beta 2) 1.0))) (* 3 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow -1.0 3))) into (sqrt (/ 1 (pow -1.0 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow -1.0 3)) (/ 0 (pow (- 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow -1.0 3))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (+ (sqrt -1.0) 0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (* 4 1) into 4
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 beta) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ 4 (- (pow beta 2) 1.0))) (* (- (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (* 4 beta) (- (pow beta 2) 1.0))))) into (- (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (/ (- (- (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2)))) (pow (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta)) 2) (+)) (* 2 (sqrt (/ 1 (- (pow beta 2) 1.0))))) into (* 1/2 (* (sqrt (- (pow beta 2) 1.0)) (- (* 12 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 (* 1/2 (* (sqrt (- (pow beta 2) 1.0)) (- (* 12 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))))))) (+ (* beta (* -2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) beta))) (* 1 (sqrt (/ 1 (- (pow beta 2) 1.0)))))) into (- (sqrt (/ 1 (- (pow beta 2) 1.0))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (- (sqrt (/ 1 (- (pow beta 2) 1.0))) (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt -1.0))) into 0
* [misc]taylor:  Taking taylor expansion of (* 2 (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 3 in beta
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- 1.0))) into (* 3 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- 1.0)))) into (pow (- 1.0) 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 3)) into (/ 1 (pow -1.0 3))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (pow -1.0 3))) into (sqrt (/ 1 (pow -1.0 3)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1.0) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (- 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (- 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow -1.0 3)) (/ 0 (pow (- 1.0) 3))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (pow -1.0 3))))) into 0
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (+ (sqrt -1.0) 0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt -1.0) 1) (* 0 0)) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (sqrt -1.0) into (sqrt -1.0)
* [misc]backup-simplify:  Simplify (+ (* (sqrt -1.0) (* beta (* 1 alpha))) (+ (* (sqrt -1.0) (pow (* 1 (* i 1)) 2)) (* (sqrt -1.0) (* 1 (* i alpha))))) into (+ (* beta (* alpha (sqrt -1.0))) (+ (* (pow i 2) (sqrt -1.0)) (* alpha (* i (sqrt -1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 alpha))) (* (+ (* 2 (/ 1 i)) (/ 1 alpha)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 i) (/ 1 beta)) (/ 1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 1)))) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 beta)) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 beta) 0) into (* 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 beta))) into (* 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 beta))) into (- (* 2 (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (* 0 (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) (pow (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 2) (+)) (* 2 1)) into -0.5
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ -0.5 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))))) (/ (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 1)))) into (+ (* 0.5 (/ 1 beta)) (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ 1 beta)) (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (* 4 (/ 1 (pow beta 2))) into (/ 4 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (/ 4 (pow beta 2)) 0) into (* 4 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ 1 (pow beta 2)))) into (* 4 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ 1 (pow beta 2)))) into (* 4 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0.5 (* 4 (/ 1 (pow beta 2)))) into (+ 0.5 (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ 0.5 (* 4 (/ 1 (pow beta 2))))) into (+ 0.5 (* 4 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (+ 0.5 (* 4 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of 0.5 in beta
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0.5 0) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 1 (pow beta 2))) into (- (/ 1 (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (/ 1 i))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 i) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) -0.5)))) (* 2 1)) into (* 1/2 (+ (* 2.0 (/ 1 i)) (* 1.0 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (* 1/2 (+ (* 2.0 (/ 1 i)) (* 1.0 (/ 1 beta)))) 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))))) (/ -0.5 1)) (* (+ (* 0.5 (/ 1 beta)) (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))))))) (/ (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 1)))) into (- (+ (* 4 (/ 1 (pow i 4))) (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ 1 (pow i 4))) (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (pow i 4))) (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ 1 (* beta (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* (pow beta 3) i))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 3) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.5 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 2.5 in i
* [misc]backup-simplify:  Simplify 2.5 into 2.5
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 1.5 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 1.5 in i
* [misc]backup-simplify:  Simplify 1.5 into 1.5
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 12 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (pow beta 3))) into (/ 6 (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.5 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 beta)) into (/ 4.0 beta)
* [misc]backup-simplify:  Simplify (+ (/ 4.0 beta) 0) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 beta))) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 beta))) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 beta))) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ 6 (pow beta 3)) (* 4.0 (/ 1 beta))) into (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) into (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) into (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) into (- (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (* 1 (* (/ 1 (/ 1 i)) (pow (/ 1 alpha) 2)))) (* 1 (* 1 (* (/ 1 (/ 1 i)) 1)))) into (+ (* 0.5 (/ i (pow alpha 2))) i)
* [misc]approximate:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in beta
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 i) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 i) (/ 1 beta))) (/ -1 i))) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 0) into (+ (/ 1 (* beta i)) (/ 1 (pow i 2)))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta i)) (/ 1 (pow i 2))) 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 1)))) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 2 (/ 1 beta)) into (/ 2 beta)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 beta) 0) into (* 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ 1 beta))) into (* 2 (/ 1 beta))
* [misc]backup-simplify:  Simplify (- (* 2 (/ 1 beta))) into (- (* 2 (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (* 0 (/ -1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) (- 1.0)) into (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 4 (/ 1 (* beta i))) (+ (/ 1 (pow beta 2)) (* 4 (/ 1 (pow i 2))))) 1.0) (pow (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 2) (+)) (* 2 1)) into -0.5
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ -0.5 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))))) (/ (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 1)))) into (+ (* 0.5 (/ 1 beta)) (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3)))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ 1 beta)) (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 0.5 (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of 0.5 in i
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ 1 (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* 5 (/ 1 (* beta (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 5 in i
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (* (pow beta 2) i))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]backup-simplify:  Simplify (* 0.5 1) into 0.5
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 5 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (* 4 (/ 1 (pow beta 2))) into (/ 4 (pow beta 2))
* [misc]backup-simplify:  Simplify (+ (/ 4 (pow beta 2)) 0) into (* 4 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ 1 (pow beta 2)))) into (* 4 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ 1 (pow beta 2)))) into (* 4 (/ 1 (pow beta 2)))
* [misc]backup-simplify:  Simplify (+ 0.5 (* 4 (/ 1 (pow beta 2)))) into (+ 0.5 (* 4 (/ 1 (pow beta 2))))
* [misc]backup-simplify:  Simplify (+ 0 (+ 0.5 (* 4 (/ 1 (pow beta 2))))) into (+ 0.5 (* 4 (/ 1 (pow beta 2))))
* [misc]taylor:  Taking taylor expansion of (+ 0.5 (* 4 (/ 1 (pow beta 2)))) in beta
* [misc]taylor:  Taking taylor expansion of 0.5 in beta
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 0.5 0) into 0.5
* [misc]backup-simplify:  Simplify 0.5 into 0.5
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (/ 1 (pow beta 2))) into (- (/ 1 (pow beta 2)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (pow beta 2))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 i) (/ 1 beta))) 0) (+ (* 0 0) (* 0 (/ -1 i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 i) 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) -0.5)))) (* 2 1)) into (* 1/2 (+ (* 2.0 (/ 1 i)) (* 1.0 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (+ (/ 1 i) (/ 1 beta)) (/ (* 1/2 (+ (* 2.0 (/ 1 i)) (* 1.0 (/ 1 beta)))) 1)) (* (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta i))) (/ 1 (pow i 2))))) (/ -0.5 1)) (* (+ (* 0.5 (/ 1 beta)) (+ (* 0.5 (/ 1 i)) (+ (* 2 (/ 1 (pow i 3))) (+ (* 5 (/ 1 (* beta (pow i 2)))) (+ (* 4 (/ 1 (* (pow beta 2) i))) (/ 1 (pow beta 3))))))) (/ (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))) 1)))) into (- (+ (* 4 (/ 1 (pow i 4))) (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (/ 1 (pow i 4))) (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ 1 (pow i 4))) (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ 1 (* beta (pow i 3)))) (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 12 (/ 1 (* beta (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of 12 in i
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ 1 (* (pow beta 3) i))) (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (* (pow beta 3) i))) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 3) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 13 (/ 1 (* (pow beta 2) (pow i 2)))) in i
* [misc]taylor:  Taking taylor expansion of 13 in i
* [misc]backup-simplify:  Simplify 13 into 13
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (pow beta 2) (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 2.5 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2.5 (/ 1 (pow i 2))) in i
* [misc]taylor:  Taking taylor expansion of 2.5 in i
* [misc]backup-simplify:  Simplify 2.5 into 2.5
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 2) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (pow beta 4)) (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 (* beta i))) (* 1.5 (/ 1 (pow beta 2)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of 4.0 in i
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* 1.5 (/ 1 (pow beta 2))) in i
* [misc]taylor:  Taking taylor expansion of 1.5 in i
* [misc]backup-simplify:  Simplify 1.5 into 1.5
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 12 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (* 6 (/ 1 (pow beta 3))) into (/ 6 (pow beta 3))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 13 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2.5 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* 4.0 (/ 1 beta)) into (/ 4.0 beta)
* [misc]backup-simplify:  Simplify (+ (/ 4.0 beta) 0) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 beta))) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 beta))) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ 0 (* 4.0 (/ 1 beta))) into (* 4.0 (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (/ 6 (pow beta 3)) (* 4.0 (/ 1 beta))) into (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) into (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) into (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))
* [misc]backup-simplify:  Simplify (- (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) into (- (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 4.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4.0 (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of 4.0 in beta
* [misc]backup-simplify:  Simplify 4.0 into 4.0
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 6 (/ 1 (pow beta 3))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 3)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in beta
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4.0 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0.5 (* 1 (* (/ 1 (/ 1 (- i))) (pow (/ 1 (- alpha)) 2)))) (* 1 (* 1 (* (/ 1 (/ 1 (- i))) 1)))) into (- (+ (* 0.5 (/ i (pow alpha 2))) i))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 alpha) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))) into (* 1/2 (* (+ (* 2 alpha) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) into (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) alpha) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (+ (+ alpha (* 2 i)) 0) into (+ alpha (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ alpha (* 2 i)) (+ alpha (* 2 i))) into (pow (+ alpha (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ alpha (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ alpha (* 2 i)) 1) (* 1 (+ alpha (* 2 i)))) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 alpha) (* 4 i)) 0) into (+ (* 2 alpha) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 alpha) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))) into (* 1/2 (* (+ (* 2 alpha) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* (+ alpha i) i) into (* (+ alpha i) i)
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ alpha i) i) 0) into (+ (pow i 2) (* alpha i))
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* alpha i)) (sqrt (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) into (* (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* alpha i)))) 1.0))) (+ (pow i 2) (* alpha i)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 beta) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* i 2) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) 0) into (* 2 i)
* [misc]backup-simplify:  Simplify (+ (* 2 i) beta) into (+ beta (* 2 i))
* [misc]backup-simplify:  Simplify (* (+ beta (* 2 i)) (+ beta (* 2 i))) into (pow (+ beta (* 2 i)) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta (* 2 i)) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)) into (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta (* 2 i)) 1) (* 1 (+ beta (* 2 i)))) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 beta) (* 4 i)) 0) into (+ (* 2 beta) (* 4 i))
* [misc]backup-simplify:  Simplify (/ (+ (* 2 beta) (* 4 i)) (* 2 (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))) into (* 1/2 (* (+ (* 2 beta) (* 4 i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (* (+ beta i) i) into (* (+ beta i) i)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) i) 0) into (+ (pow i 2) (* beta i))
* [misc]backup-simplify:  Simplify (/ (+ (pow i 2) (* beta i)) (sqrt (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))) into (* (+ (pow i 2) (* beta i)) (sqrt (/ 1 (- (+ (* 4 (pow i 2)) (+ (* 4 (* beta i)) (pow beta 2))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (/ 1 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ alpha i) beta) i (* beta alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ alpha i) beta) i) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ alpha i) beta) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]taylor:  Rewrote expression to (+ (* i 2) alpha)
* [misc]taylor:  Taking taylor expansion of (* i 2) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) into (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 beta) (* 4 alpha)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* (+ beta alpha) 0) into 0
* [misc]backup-simplify:  Simplify (* beta alpha) into (* beta alpha)
* [misc]backup-simplify:  Simplify (+ 0 (* beta alpha)) into (* beta alpha)
* [misc]backup-simplify:  Simplify (/ (* beta alpha) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) into (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha))) into (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 1) (* 1 0)) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (- (/ (+ beta alpha) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha)) (/ (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) into (- (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) beta) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) alpha)) (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* (pow beta 2) alpha))) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* beta (pow alpha 2))))))
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (/ (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) into (- (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) alpha)) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) beta))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) beta) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) alpha)) (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* (pow beta 2) alpha))) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* beta (pow alpha 2))))))) (* (- (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) alpha)) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) beta)))) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha)))) into (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ beta (- (pow beta 2) 1.0)) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ 0 (/ beta (- (pow beta 2) 1.0))) into (/ beta (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ beta (- (pow beta 2) 1.0)) 0) into (/ beta (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (/ beta (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (- 4 (pow (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) 2) (+)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha)) (/ (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))))) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) (* (- (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) beta) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) alpha)) (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* (pow beta 2) alpha))) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* beta (pow alpha 2)))))) (/ (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) into (- (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* (pow beta 3) alpha))) (+ (* 12 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* (pow beta 2) (pow alpha 2)))) (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* beta (pow alpha 3)))) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* beta alpha))) (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (pow beta 2))) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (pow alpha 2))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (/ (- 4 (pow (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) 2) (+)) (* 2 (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))))))
* [misc]backup-simplify:  Simplify (- (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (/ (* 1/2 (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- 4 (+ (* 4 (/ (pow beta 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (+ (* 4 (/ (pow alpha 2) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* 8 (/ (* beta alpha) (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))))) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) (* (- (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) alpha)) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) beta)))) (/ (* 1/2 (* (+ (* 4 beta) (* 4 alpha)) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))))) (sqrt (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) into (- (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (pow beta 2))) (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (pow alpha 2))) (* 12 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* beta alpha))))) (* 2 (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (- (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* (pow beta 3) alpha))) (+ (* 12 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* (pow beta 2) (pow alpha 2)))) (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* beta (pow alpha 3)))) (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))))) (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* beta alpha))) (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (pow beta 2))) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (pow alpha 2))))))) (+ (* (- (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) alpha)) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) beta)))) (- (+ (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) beta) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) alpha)) (+ (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* (pow beta 2) alpha))) (* 2 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* beta (pow alpha 2))))))) (* (- (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (pow beta 2))) (+ (* 6 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (pow alpha 2))) (* 12 (* (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 5))) (* beta alpha))))) (* 2 (sqrt (/ 1 (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))))) (* (sqrt (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) (* beta alpha))))) into (- (+ (* 16 (/ (* beta (pow alpha 3)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (+ (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* 16 (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* 32 (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)))))) (+ (* 4 (/ (pow alpha 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (+ (* 12 (/ (* beta alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (pow beta 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 16 (/ (* beta (pow alpha 3)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (+ (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* 16 (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* 32 (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)))))) (+ (* 4 (/ (pow alpha 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (+ (* 12 (/ (* beta alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (pow beta 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 3)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (+ (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* 16 (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* 32 (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* beta (pow alpha 3)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 16 in alpha
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* beta (pow alpha 3)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta (pow alpha 3)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (pow alpha 3) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* beta 1) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 3)) into (/ beta (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) (+ (* 16 (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* 32 (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (pow beta 2) 1.0)) into (/ 1 (- (pow beta 2) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* 16 (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) (* 32 (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 16 (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 16 in alpha
* [misc]backup-simplify:  Simplify 16 into 16
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 3) alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow beta 3) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 3 (log beta)) into (* 3 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 3 (log beta))) into (pow beta 3)
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 3) 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3)
* [misc]backup-simplify:  Simplify (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 32 (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 32 in alpha
* [misc]backup-simplify:  Simplify 32 into 32
* [misc]taylor:  Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (pow beta 2) 1.0))) into (* 3 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 3)
* [misc]backup-simplify:  Simplify (* (pow beta 2) 1) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (pow alpha 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (+ (* 12 (/ (* beta alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (pow beta 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow alpha 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow alpha 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- (pow beta 2) 1.0) 2)) into (/ 1 (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (+ (* 12 (/ (* beta alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) (* 4 (/ (pow beta 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 12 (/ (* beta alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 12 in alpha
* [misc]backup-simplify:  Simplify 12 into 12
* [misc]taylor:  Taking taylor expansion of (/ (* beta alpha) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ beta (pow (- (pow beta 2) 1.0) 2)) into (/ beta (pow (- (pow beta 2) 1.0) 2))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta alpha)) (+ (pow beta 2) (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (pow beta 2) (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* 2 0) into 0
* [misc]backup-simplify:  Simplify (+ (pow beta 2) 0) into (pow beta 2)
* [misc]backup-simplify:  Simplify (+ 0 (pow beta 2)) into (pow beta 2)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0)
* [misc]backup-simplify:  Simplify (log (- (pow beta 2) 1.0)) into (log (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- (pow beta 2) 1.0))) into (* 2 (log (- (pow beta 2) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- (pow beta 2) 1.0)))) into (pow (- (pow beta 2) 1.0) 2)
* [misc]backup-simplify:  Simplify (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (- (pow beta 2) 1.0))) into (/ 1 (- (pow beta 2) 1.0))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 2 beta) (- (pow beta 2) 1.0))))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (pow beta 2) 1.0)) (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) into (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 (- (pow beta 2) 1.0)) (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) (- (* 4 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))) into (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (pow beta 2) 1.0)) (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- 1.0)) into -1.0
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 6 in beta
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify (+ -1.0 0) into (- 1.0)
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 beta) 0) into (* 2 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 (- (pow beta 2) 1.0)) (+ (* (/ beta (- (pow beta 2) 1.0)) (/ (* 2 beta) (- (pow beta 2) 1.0))))) into (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log (- (pow beta 2) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (log (- (pow beta 2) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log (- (pow beta 2) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (pow beta 2) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (- 1.0)) into (- 1.0)
* [misc]backup-simplify:  Simplify (log (- 1.0)) into (log (- 1.0))
* [misc]backup-simplify:  Simplify (* 2 (log (- 1.0))) into (* 2 (log (- 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 2 (log (- 1.0)))) into (pow (- 1.0) 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow (- 1.0) 2)) into (/ 1 (pow -1.0 2))
* [misc]backup-simplify:  Simplify -1.0 into -1.0
* [misc]backup-simplify:  Simplify (+ (* -1.0 (* beta (* 1 i))) (+ (* (- 1.0) (* 1 (* alpha i))) (* (- 1.0) (pow (* 1 (* 1 i)) 2)))) into (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta i)) (* 1.0 (* alpha i)))))
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 alpha))) (* (+ (* 2 (/ 1 i)) (/ 1 alpha)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (+ (/ 2 i) (/ 1 alpha)) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 i)) (/ 1 alpha)) 0) into (+ (* 2 (/ 1 i)) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 alpha))) (* (+ (* 2 (/ 1 i)) (/ 1 alpha)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 2) into (/ 2 i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 2 i) 0) into (* 2 (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ 1 i)) (/ 1 beta)) into (+ (* 2 (/ 1 i)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (* 1 (+ (* 2 (/ 1 i)) (/ 1 beta))) (* (+ (* 2 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) (* (/ 1 beta) (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 i) 2) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 i) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (+ 2 0) into 2
* [misc]backup-simplify:  Simplify (* 2 2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 2 (+ (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 beta) (/ 1 alpha)) 2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (/ 1 beta) (/ 1 alpha)) 1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 2) (+ (* 1/2 (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (* (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) 1/2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (/ 1 alpha)) 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* beta alpha))) into (/ 1 (* beta alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* 0 2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* beta alpha)) 2) (+ (* 1/2 (/ -0.25 2)) (* (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha))) (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (- (+ 0.0625 (* 1/4 (/ 1 (* beta alpha)))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (/ 1 alpha))) (* 0 2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ -0.25 2)) (* (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (+ 0.0625 (+ (* 1/4 (/ 1 (* beta alpha))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ 0.0625 (* 1/4 (/ 1 (* beta alpha)))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2)))))) (+ (* (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (* (+ 0.0625 (+ (* 1/4 (/ 1 (* beta alpha))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2)))))) 1/2))) into (- (+ 0.0625 (* 1/8 (/ 1 (* beta alpha)))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ 0.0625 (* 1/8 (/ 1 (* beta alpha)))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 0.0625 (* 1/8 (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 0.0625 in alpha
* [misc]backup-simplify:  Simplify 0.0625 into 0.0625
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/8 in alpha
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/16 in alpha
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/16 in alpha
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in beta
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- 1.0) in beta
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (+ (/ -2 i) (/ -1 alpha)) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) 0) into (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 alpha)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 alpha))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 alpha)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 alpha)) 1) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (/ -1 i) 2) into (/ -2 i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -2 i) 0) into (- (* 2 (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (/ 1 i))) (/ -1 beta)) into (- (+ (* 2 (/ 1 i)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (+ (* 2 (/ 1 i)) (/ 1 beta)))) (* (- (+ (* 2 (/ 1 i)) (/ 1 beta))) -1)) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) 0) into (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))) (* 2 (sqrt 1))) into (* 1/2 (+ (* 4 (/ 1 i)) (* 2 (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 i) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 i) (/ 1 beta)) 1) into (+ (/ 1 i) (/ 1 beta))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) (* (/ 1 (- beta)) (/ 1 (- alpha))))
* [misc]taylor:  Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (- 1.0)) in i
* [misc]taylor:  Rewrote expression to (+ (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (- 1.0))
* [misc]taylor:  Taking taylor expansion of (* (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]taylor:  Rewrote expression to (+ (* (/ 1 (- i)) 2) (/ 1 (- alpha)))
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- i)) 2) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (- 1.0) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (+ -2 0) into -2
* [misc]backup-simplify:  Simplify (* -2 -2) into 4
* [misc]backup-simplify:  Simplify (+ 4 0) into 4
* [misc]backup-simplify:  Simplify (sqrt 4) into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -2 (- (+ (/ 1 beta) (/ 1 alpha)))) (* (- (+ (/ 1 beta) (/ 1 alpha))) -2)) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) 0) into (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))) (* 2 (sqrt 4))) into (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]backup-simplify:  Simplify (* 1/2 1/2) into 1/4
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (- (+ (/ 1 beta) (/ 1 alpha))) -1)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) 2) (+ (* 1/2 (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (* (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) 1/2)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (/ 1 alpha))) 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* beta alpha))) into (/ 1 (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 beta) (/ 1 alpha))) (- (+ (/ 1 beta) (/ 1 alpha)))) (* 0 -2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (* beta alpha)) 2) (+ (* 1/2 (/ -0.25 2)) (* (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha))) (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (- (+ 0.0625 (* 1/4 (/ 1 (* beta alpha)))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 beta) (/ 1 alpha))) (- (+ (/ 1 beta) (/ 1 alpha)))) (* 0 -2))) into (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 2 (/ 1 (* beta alpha))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) 1.0) (pow (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2) (+)) (* 2 2)) into -0.25
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ -0.25 2)) (* (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (/ (* 1/4 (+ (* 4 (/ 1 beta)) (* 4 (/ 1 alpha)))) 2)))) into (+ 0.0625 (+ (* 1/4 (/ 1 (* beta alpha))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ 0.0625 (* 1/4 (/ 1 (* beta alpha)))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2)))))) (+ (* (- (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 alpha)))) (* (+ 0.0625 (+ (* 1/4 (/ 1 (* beta alpha))) (+ (* 1/8 (/ 1 (pow beta 2))) (* 1/8 (/ 1 (pow alpha 2)))))) 1/2))) into (- (+ 0.0625 (* 1/8 (/ 1 (* beta alpha)))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))))
* [misc]taylor:  Taking taylor expansion of (- (+ 0.0625 (* 1/8 (/ 1 (* beta alpha)))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ 0.0625 (* 1/8 (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 0.0625 in alpha
* [misc]backup-simplify:  Simplify 0.0625 into 0.0625
* [misc]taylor:  Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/8 in alpha
* [misc]backup-simplify:  Simplify 1/8 into 1/8
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/16 in alpha
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow beta 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 2) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 2 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 2 (log beta)) into (* 2 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 2 (log beta))) into (pow beta 2)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
* [misc]taylor:  Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/16 in alpha
* [misc]backup-simplify:  Simplify 1/16 into 1/16
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow alpha 2) in alpha
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 2 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 0) (* 0 (/ 1 (pow beta 2)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (log1p (expm1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 2 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (expm1 (log1p (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 3 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (pow (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) 1/2))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 4 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (pow (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 1))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 5 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (exp (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 6 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (log (exp (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 7 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 8 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 9 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (fabs (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 10 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 11 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (sqrt 1) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))
* * * * [misc]progress:  [ 12 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 13 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fabs (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 14 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 15 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (log1p (expm1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 16 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (expm1 (log1p (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 17 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (pow (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)) 1/2)) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 18 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (pow (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) 1)) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 19 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (exp (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 20 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (log (exp (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (exp (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 21 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 22 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (cbrt (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (* (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)) (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 23 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (fabs (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (cbrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 24 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 25 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (sqrt 1) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))
* * * * [misc]progress:  [ 26 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 27 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (fabs (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 28 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (* 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 29 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log1p (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (expm1 (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 30 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (expm1 (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (log1p (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 31 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (pow (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 1)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 32 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (exp (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* [exit]simplify:  Simplified to (- (log (fma (+ (+ beta i) alpha) i (* beta alpha))) (log (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (- (log (fma (+ (+ beta i) alpha) i (* beta alpha))) (log (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 33 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (exp (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* [exit]simplify:  Simplified to (log (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (log (/ (fma (+ beta (+ i alpha)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 34 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (log (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (exp (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 35 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (114 enodes)
* * [misc]simplify:  iters left: 3 (417 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (* (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) (/ (* (fma (+ alpha (+ beta i)) i (* beta alpha)) (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 36 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (cbrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (cbrt (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))))
* [enter]simplify:  Simplifying (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (cbrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 37 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (319 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (/ (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)) (fma (+ (+ beta i) alpha) i (* beta alpha))) (fma (+ (+ beta i) alpha) i (* beta alpha))))
* [exit]simplify:  Simplified to (/ (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (sqrt (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)))) (/ (/ (fma (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)) (- 1.0)) (fma (+ (+ beta i) alpha) i (* beta alpha))) (fma (+ (+ beta i) alpha) i (* beta alpha))))
* * * * [misc]progress:  [ 38 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 39 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (- (fma (+ (+ alpha i) beta) i (* beta alpha))) (- (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (- (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (69 enodes)
* * [misc]simplify:  iters left: 2 (204 enodes)
* * [misc]simplify:  iters left: 1 (386 enodes)
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [exit]simplify:  Simplified to (- (* (+ i alpha) (+ beta i)))
* [enter]simplify:  Simplifying (- (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (115 enodes)
* [exit]simplify:  Simplified to (- (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (- (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 40 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (/ (cbrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 41 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha)))) (fabs (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha))) (cbrt (fma (+ i (+ alpha beta)) i (* beta alpha)))) (fabs (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 42 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 43 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt 1)) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (131 enodes)
* * [misc]simplify:  iters left: 1 (198 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (+ beta i) (+ i alpha))) (/ (sqrt 1) (cbrt (* (+ beta i) (+ i alpha)))))
* [exit]simplify:  Simplified to (/ (cbrt (* (+ beta i) (+ i alpha))) (/ (sqrt 1) (cbrt (* (+ beta i) (+ i alpha)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 44 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 45 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (152 enodes)
* * [misc]simplify:  iters left: 1 (222 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [exit]simplify:  Simplified to (* (cbrt (* (+ beta i) (+ i alpha))) (cbrt (* (+ beta i) (+ i alpha))))
* [enter]simplify:  Simplifying (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 46 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (* (cbrt (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (cbrt (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (* (cbrt (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0)))) (cbrt (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 47 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (fabs (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ beta (+ i alpha)) i (* beta alpha))) (fabs (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 48 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 49 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt 1)) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt 1))
* [exit]simplify:  Simplified to (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt 1))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 50 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (+ beta i) alpha) i (* beta alpha))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 51 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [exit]simplify:  Simplified to (sqrt (* (+ beta i) (+ i alpha)))
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (163 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ alpha (+ beta i)) i (* beta alpha))) (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))
* * * * [misc]progress:  [ 52 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ 1 (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))) (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))) (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (cbrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 53 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ 1 (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (cbrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 54 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 55 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ 1 (sqrt 1)) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 56 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (120 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 57 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ 1 1) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 58 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 59 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * * * [misc]progress:  [ 60 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (fma i (+ i (+ beta alpha)) (* alpha beta)))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (fma i (+ i (+ beta alpha)) (* alpha beta)))
* * * * [misc]progress:  [ 61 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (* (cbrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (* (cbrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))) (cbrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0))))))
* * * * [misc]progress:  [ 62 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fabs (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (fabs (cbrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 63 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 64 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt 1)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (195 enodes)
* [exit]simplify:  Simplified to (/ (* (+ beta i) (+ i alpha)) (sqrt 1))
* [exit]simplify:  Simplified to (/ (* (+ beta i) (+ i alpha)) (sqrt 1))
* * * * [misc]progress:  [ 65 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (fma (+ alpha (+ beta i)) i (* beta alpha)) (sqrt (sqrt (fma (fma i 2 (+ alpha beta)) (fma i 2 (+ alpha beta)) (- 1.0)))))
* * * * [misc]progress:  [ 66 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (193 enodes)
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* [exit]simplify:  Simplified to (* (+ beta i) (+ i alpha))
* * * * [misc]progress:  [ 67 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (cbrt (fma i (+ beta (+ i alpha)) (* alpha beta))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (cbrt (fma i (+ beta (+ i alpha)) (* alpha beta))))
* * * * [misc]progress:  [ 68 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (sqrt (fma i (+ beta (+ i alpha)) (* alpha beta))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (sqrt (fma i (+ beta (+ i alpha)) (* alpha beta))))
* * * * [misc]progress:  [ 69 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (+ alpha i) beta) i (* beta alpha))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (fma i (+ i (+ beta alpha)) (* alpha beta)))
* [exit]simplify:  Simplified to (/ (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))) (fma i (+ i (+ beta alpha)) (* alpha beta)))
* * * * [misc]progress:  [ 70 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (log1p (expm1 (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (expm1 (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 71 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (expm1 (log1p (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log1p (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 72 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (pow (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) 1) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 73 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (pow (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) 1) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 74 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (+ (- (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* [exit]simplify:  Simplified to (- (- (log (fma i (+ (+ beta alpha) i) (* alpha beta))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* [exit]simplify:  Simplified to (- (- (log (fma i (+ (+ beta alpha) i) (* alpha beta))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* * * * [misc]progress:  [ 75 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (+ (- (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (+ (- (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (- (- (log (fma i (+ (+ beta alpha) i) (* alpha beta))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* [exit]simplify:  Simplified to (- (- (log (fma i (+ (+ beta alpha) i) (* alpha beta))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))))) (log (sqrt (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0)))))
* * * * [misc]progress:  [ 76 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (+ (log (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (- (log (fma (+ (+ alpha i) beta) i (* beta alpha))) (log (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (242 enodes)
* [exit]simplify:  Simplified to (- (- (log (fma i (+ (+ i beta) alpha) (* alpha beta))) (log (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (log (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (- (- (log (fma i (+ (+ i beta) alpha) (* alpha beta))) (log (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (log (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 77 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (+ (log (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (log (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (75 enodes)
* * [misc]simplify:  iters left: 3 (218 enodes)
* [exit]simplify:  Simplified to (- (log (fma i (+ (+ i beta) alpha) (* alpha beta))) (+ (log (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (log (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (- (log (fma i (+ (+ i beta) alpha) (* alpha beta))) (+ (log (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (log (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))))
* * * * [misc]progress:  [ 78 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (exp (log (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (log (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (308 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 79 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (log (exp (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (exp (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (80 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (exp (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 80 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (* (* (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (+ alpha i) beta) i (* beta alpha))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (198 enodes)
* [exit]simplify:  Simplified to (* (/ (/ 1 (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)) (fma i (+ alpha (+ i beta)) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (/ (/ 1 (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (/ (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)) (fma i (+ alpha (+ i beta)) (* alpha beta)))))
* * * * [misc]progress:  [ 81 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (163 enodes)
* [exit]simplify:  Simplified to (* (pow (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) 3) (pow (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) 3))
* [exit]simplify:  Simplified to (* (pow (/ (fma i (+ alpha (+ i beta)) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) 3) (pow (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) 3))
* * * * [misc]progress:  [ 82 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (cbrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (cbrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (cbrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (cbrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [enter]simplify:  Simplifying (cbrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 83 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (cbrt (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (146 enodes)
* [exit]simplify:  Simplified to (pow (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 3)
* [exit]simplify:  Simplified to (pow (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 3)
* * * * [misc]progress:  [ 84 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (sqrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (sqrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [enter]simplify:  Simplifying (sqrt (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 85 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* 1 (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 1 (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (224 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (* (+ beta i) (+ alpha i))
* [exit]simplify:  Simplified to (* (+ beta i) (+ alpha i))
* [enter]simplify:  Simplifying (* (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (116 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))
* [exit]simplify:  Simplified to (fma (+ (fma 2 i alpha) beta) (+ (fma 2 i alpha) beta) (- 1.0))
* * * * [misc]progress:  [ 86 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* 1 (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 87 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))) (/ (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))) (/ (cbrt (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 88 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (183 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 89 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (399 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (/ (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))) (/ (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (cbrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))))
* * * * [misc]progress:  [ 90 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (fabs (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (* (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (fabs (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))) (/ (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 91 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 92 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt 1))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (sqrt 1) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (sqrt 1) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 93 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 94 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1)) (/ (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (* (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (+ alpha i) beta) i (* beta alpha)))) 1))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (245 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta)))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (* (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (cbrt (fma i (+ (+ i beta) alpha) (* alpha beta)))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 95 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (264 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (* (cbrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (cbrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (* (cbrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (cbrt (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* * * * [misc]progress:  [ 96 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (211 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (fabs (cbrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (fabs (cbrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 97 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 98 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt 1))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt 1)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (sqrt 1) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (sqrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (* (sqrt 1) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 99 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (212 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ (+ i beta) alpha) (* alpha beta))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (sqrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 100 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1)) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) 1))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (213 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* [exit]simplify:  Simplified to (/ (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))))
* * * * [misc]progress:  [ 101 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (* (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (cbrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (* (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (* (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (cbrt (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))))
* * * * [misc]progress:  [ 102 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (154 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (fabs (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))) (fabs (cbrt (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0)))))
* * * * [misc]progress:  [ 103 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 104 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt 1))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt 1)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt 1)) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0))))
* * * * [misc]progress:  [ 105 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))) (sqrt (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 106 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 1)) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 107 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 1) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ 1 (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 108 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 109 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (cbrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (cbrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (cbrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (cbrt (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (cbrt (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* * * * [misc]progress:  [ 110 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (sqrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (sqrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (sqrt (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (sqrt (/ 1 (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))))))
* * * * [misc]progress:  [ 111 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* 1 (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 112 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* 1 (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))
* * * * [misc]progress:  [ 113 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (fma (+ (+ alpha i) beta) i (* beta alpha))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (fma (+ (+ alpha i) beta) i (* beta alpha)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (235 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 114 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 1 (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (+ alpha (fma 2 i beta)) (+ alpha (fma 2 i beta)) (- 1.0))))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (sqrt (fma (+ alpha (fma 2 i beta)) (+ alpha (fma 2 i beta)) (- 1.0))))
* * * * [misc]progress:  [ 115 / 127 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* * * * [misc]progress:  [ 116 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (+ (* 2 (* (pow i 2) (sqrt -1.0))) (+ (* 2 (* alpha (* i (sqrt -1.0)))) (sqrt (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (+ (* 2 (* (pow i 2) (sqrt -1.0))) (+ (* 2 (* alpha (* i (sqrt -1.0)))) (sqrt (- 1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))) (/ (fma 2 (* (* (sqrt -1.0) i) (+ alpha i)) (sqrt (- 1.0))) (* (/ (+ i (+ beta alpha)) (fma i 2 (+ beta alpha))) (/ i (fma i 2 (+ beta alpha))))))
* * * * [misc]progress:  [ 117 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (+ beta (+ alpha (* 2 i))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (+ beta (+ alpha (* 2 i))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (177 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (fma 2 i (+ beta alpha))) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma 2 i (+ beta alpha)))) (/ (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))) (/ (+ (+ alpha i) beta) (fma 2 i (+ beta alpha)))))
* * * * [misc]progress:  [ 118 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (- (+ beta (+ alpha (* 2 i)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (- (+ beta (+ alpha (* 2 i)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (187 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ i (fma i 2 (+ beta alpha))) (+ (+ alpha i) beta)) (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (- (- beta) (fma i 2 alpha)))) (* (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0))) (fma i 2 (+ beta alpha))))
* * * * [misc]progress:  [ 119 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (+ (* 2 (* (pow i 2) (sqrt -1.0))) (+ (* 2 (* alpha (* i (sqrt -1.0)))) (sqrt (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (+ (* 2 (* (pow i 2) (sqrt -1.0))) (+ (* 2 (* alpha (* i (sqrt -1.0)))) (sqrt (- 1.0))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (226 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (+ (+ beta i) alpha) i (* beta alpha)) (fma 2 (* (* i (sqrt -1.0)) (+ alpha i)) (sqrt (- 1.0)))) (/ (sqrt (fma (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha)) (- 1.0))) (/ (* i (+ (+ beta i) alpha)) (* (+ beta (fma 2 i alpha)) (+ beta (fma 2 i alpha))))))
* * * * [misc]progress:  [ 120 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (+ beta (+ alpha (* 2 i)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (+ beta (+ alpha (* 2 i)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (177 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ beta (+ i alpha)) (+ alpha (fma i 2 beta))) (/ i (+ alpha (fma i 2 beta)))) (/ (/ (fma i (+ beta (+ i alpha)) (* alpha beta)) (+ alpha (fma i 2 beta))) (sqrt (fma (+ alpha (fma i 2 beta)) (+ alpha (fma i 2 beta)) (- 1.0)))))
* * * * [misc]progress:  [ 121 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (- (+ beta (+ alpha (* 2 i))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (- (+ beta (+ alpha (* 2 i))))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (187 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (fma i 2 (+ beta alpha))) (/ (+ i (+ beta alpha)) (fma i 2 (+ beta alpha)))) (* (/ (- (- beta) (fma 2 i alpha)) (fma i (+ i (+ beta alpha)) (* alpha beta))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 122 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (* beta (* alpha (sqrt -1.0))) (+ (* (pow i 2) (sqrt -1.0)) (* alpha (* i (sqrt -1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (* beta (* alpha (sqrt -1.0))) (+ (* (pow i 2) (sqrt -1.0)) (* alpha (* i (sqrt -1.0)))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (75 enodes)
* * [misc]simplify:  iters left: 4 (236 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (fma (sqrt -1.0) (* i (+ alpha i)) (* (* alpha beta) (sqrt -1.0))) (+ alpha (+ i beta))) (* (/ (fma 2 i (+ beta alpha)) i) (fma 2 i (+ beta alpha)))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0))))
* * * * [misc]progress:  [ 123 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (* 0.5 (/ i (pow alpha 2))) i)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (+ (* 0.5 (/ i (pow alpha 2))) i)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (183 enodes)
* [exit]simplify:  Simplified to (* (/ i (fma i 2 (+ beta alpha))) (/ (/ (* (fma (/ 0.5 alpha) (/ i alpha) i) (+ (+ alpha i) beta)) (fma i 2 (+ beta alpha))) (sqrt (fma (fma i 2 (+ beta alpha)) (fma i 2 (+ beta alpha)) (- 1.0)))))
* * * * [misc]progress:  [ 124 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (- (+ (* 0.5 (/ i (pow alpha 2))) i))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (- (+ (* 0.5 (/ i (pow alpha 2))) i))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (186 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ (+ (+ beta alpha) i) (fma 2 i (+ beta alpha))) (fma (/ (- i) (* alpha alpha)) 0.5 (- i))) (sqrt (fma (fma 2 i (+ beta alpha)) (fma 2 i (+ beta alpha)) (- 1.0)))) (/ i (fma 2 i (+ beta alpha))))
* * * * [misc]progress:  [ 125 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta i)) (* 1.0 (* alpha i))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (- (+ (* 1.0 (pow i 2)) (+ (* 1.0 (* beta i)) (* 1.0 (* alpha i))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (176 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ beta alpha) (* i i)) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) (* (- 1.0) (fma i (+ beta alpha) (* i i)))))
* * * * [misc]progress:  [ 126 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to 0
* * * * [misc]progress:  [ 127 / 127 ] simplifiying candidate #<alt-event (λ (alpha beta i) (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* 0 (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (211 enodes)
* * [misc]simplify:  iters left: 1 (450 enodes)
* [exit]simplify:  Simplified to 0
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (alpha beta i) (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))> #<alt-delta (λ (alpha beta i) (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))> #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))> #<alt-delta (λ (alpha beta i) (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) 0)>)
* [misc]regimes:  searching between 1.7281128431783482e+157 and 4.261425297233509e+153 on beta
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* * * * [misc]points:  Sampling 16 additional inputs, on iter 0 have 0 / 16
* * * * [misc]points:  Computing exacts for 16 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 16 points with exact outputs
* [misc]regimes:  searching between 0.06384396668333596 and 0.06290925897238024 on (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]regimes:  searching between 0.06384396668333593 and 0.06290925897238024 on (* (* (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (* (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (/ (sqrt (fma (+ (+ alpha i) beta) i (* beta alpha))) (cbrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]regimes:  searching between 0.06384396668333599 and 0.06290925897238024 on (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (sqrt (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]regimes:  searching between 0.06384396668333597 and 0.06290925897238023 on (* (* (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))) (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]regimes:  searching between 0.399674666056584 and 0.3977145899803193 on (cbrt (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]regimes:  searching between 0.06384396668333597 and 0.06290925897238024 on (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]regimes:  searching between 0.06384396668333595 and 0.06290925897238023 on (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (* (* (cbrt (+ alpha (+ beta i))) (cbrt (+ alpha (+ beta i)))) (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta))) (/ i (+ (fma i 2 alpha) beta))))
* [misc]regimes:  searching between 0.06384396668333595 and 0.06290925897238023 on (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (/ (* (cbrt (+ (+ alpha i) beta)) (cbrt (+ (+ alpha i) beta))) 1) (* (/ (cbrt (+ (+ alpha i) beta)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]regimes:  searching between 0.06384396668333595 and 0.06290925897238023 on (* (cbrt (pow (/ (fma (+ i (+ alpha beta)) i (* beta alpha)) (fma (+ (fma i 2 beta) alpha) (+ (fma i 2 beta) alpha) (- 1.0))) 3)) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]regimes:  searching between 0.06384396668333597 and 0.06290925897238024 on (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))))
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 0.0633766128278581) #s(sp 1 (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) +nan.0)) , with alts (#<alt-delta (λ (alpha beta i) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))))> #<alt-delta (λ (alpha beta i) 0)>)
* [enter]simplify:  Simplifying (if (<= (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) 0.0633766128278581) (* (/ (fma (+ (+ alpha i) beta) i (* beta alpha)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))) (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta)))) 0)
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* [exit]simplify:  Simplified to (if (<= (* (* (/ 1 (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) (/ (fma (+ (+ alpha i) beta) i (* alpha beta)) (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0))))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) 0.0633766128278581) (* (* (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ i (+ (fma i 2 alpha) beta))) (/ (fma (+ (+ alpha i) beta) i (* alpha beta)) (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) (- 1.0)))) 0)
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs